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The formula for the area of a triangle is A is equal to 1/2 b times h, where A is equal to area, b is equal to length of the base, and h is equal to the length of the height. So area is equal to 1/2 times the length of the base times the length of the height. Solve this formula for the height. So just to visualize this a little bit, let me draw a triangle here. Let me draw a triangle just so we know what b and h are. b would be the length of the base. So this distance right over here is b. And then this distance right here is our height. That is the height of the triangle-- let me do that at a lower case h because thats how we wrote it in the formula. Now, they want us to solve this formula for the height. So the formula is area is equal to 1/2 base times height. And we want to solve for h. We essentially want to isolate the h on one side of the equation. Its already on the right-hand side. So lets get rid of everything else on the right-hand side. So we can do it-- well, Ill do i

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1:51 3:31 Rearranging Formulas - YouTube YouTube Start of suggested clip End of suggested clip The equation reads a equals x times R and were solving for the variable R. In this case. The firstMoreThe equation reads a equals x times R and were solving for the variable R. In this case. The first step is to move X from the right hand side to the left hand side right. Now its multiplying by R.

0:07 1:34 Rearrange Terms - Visualizing Algebra - YouTube YouTube Start of suggested clip End of suggested clip Addition is commutative. Now that we can see theres a common factor of 2 M plus 1 in the first termMoreAddition is commutative. Now that we can see theres a common factor of 2 M plus 1 in the first term and 2m plus 1 and the second term we factor again which leaves us with our factored form 7.

The basic technique to isolate a variable is to do something to both sides of the equation, such as add, subtract, multiply, or divide both sides of the equation by the same number. By repeating this process, we can get the variable isolated on one side of the equation.

How to rearrange equations step by step: Identify the variable you need to make the subject. Isolate the variable by: removing any fractions by multiplying by the denominator/s, dividing by the coefficient of the variable, and by square rooting or squaring both sides of the equation.

Lesson Summary. Lets review. Solving by rearranging means you are moving the terms in an equation around to find your answer. When solving by rearranging, remember these rules: Use the opposite operation to move terms from one side to the other.

We can express an equation in terms of the other variable. For example, To rearrange the equation so that it is written as take each term and move to the other side of the equal sign using the opposite operation until you only have. remaining on the left.

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