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How to organize formula resolution

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[Music] hi im adam this is the machine tech video blog and today im going to continue our discussion on auto collimators in the previous video i described in a very general sense how auto collimators work including why they are only sensitive to angular changes in a mirror and why thats so useful i also casually mentioned that based on the focal length of the objective lens in the auto collimator as well as on the resolution of the scale and the magnification of the eyepiece both of which have to do with sensing the movement of the return image of the crosshair you can tell exactly what the angular change of that mirror is very very precisely in this video were going to explore those relationships further which means were going to have to dig even deeper into optics and the related math but dont worry im going to try to cover this as intuitively as i possibly can and luckily all of the parameters i just described are related through a very simple formula the autocollimator form

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How do you solve rearranging formulas?

So lets review: RULE #1: you can add, subtract, multiply and divide by anything, as long as you do the same thing to both sides of the equals sign. RULE #2: to move or cancel a quantity or variable on one side of the equation, perform the opposite operation with it on both sides of the equation.

How do you rearrange complex equations?

1:23 14:51 So we can rearrange rewrite 5a plus a b as a times 5 plus b at the moment weve got a times fiveMoreSo we can rearrange rewrite 5a plus a b as a times 5 plus b at the moment weve got a times five plus b to get a by itself we divide both sides by five plus b.

How do you rearrange simple equations?

Typically we rearrange equations and formulas by using inverse operations to make one variable the subject of the formula. The subject of the formula is the single variable that is equal to everything else. i.e. the term by itself on one side of the equal sign.

How do you rearrange expressions?

Rearranging equations 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. e.g. Rearrange to make the subject of the equation. Take to the other side of the equal sign by adding to both sides.

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