(12m-13w)(12m+13w)=

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Solution for (12m-13w)(12m+13w)= equation: 


Simplifying
(12m + -13w)(12m + 13w) = 0

Multiply (12m + -13w) * (12m + 13w)
(12m * (12m + 13w) + -13w * (12m + 13w)) = 0
((12m * 12m + 13w * 12m) + -13w * (12m + 13w)) = 0

Reorder the terms:
((156mw + 144m2) + -13w * (12m + 13w)) = 0
((156mw + 144m2) + -13w * (12m + 13w)) = 0
(156mw + 144m2 + (12m * -13w + 13w * -13w)) = 0
(156mw + 144m2 + (-156mw + -169w2)) = 0

Reorder the terms:
(156mw + -156mw + 144m2 + -169w2) = 0

Combine like terms: 156mw + -156mw = 0
(0 + 144m2 + -169w2) = 0
(144m2 + -169w2) = 0

Solving
144m2 + -169w2 = 0

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '169w2' to each side of the equation.
144m2 + -169w2 + 169w2 = 0 + 169w2

Combine like terms: -169w2 + 169w2 = 0
144m2 + 0 = 0 + 169w2
144m2 = 0 + 169w2
Remove the zero:
144m2 = 169w2

Divide each side by '144'.
m2 = 1.173611111w2

Simplifying
m2 = 1.173611111w2

Take the square root of each side:
m = {-1.083333333w, 1.083333333w}

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