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Simplifying
(4w + 6m)(6m + -4w) = 0
Reorder the terms:
(6m + 4w)(6m + -4w) = 0
Multiply (6m + 4w) * (6m + -4w)
(6m * (6m + -4w) + 4w * (6m + -4w)) = 0
((6m * 6m + -4w * 6m) + 4w * (6m + -4w)) = 0
Reorder the terms:
((-24mw + 36m2) + 4w * (6m + -4w)) = 0
((-24mw + 36m2) + 4w * (6m + -4w)) = 0
(-24mw + 36m2 + (6m * 4w + -4w * 4w)) = 0
(-24mw + 36m2 + (24mw + -16w2)) = 0
Reorder the terms:
(-24mw + 24mw + 36m2 + -16w2) = 0
Combine like terms: -24mw + 24mw = 0
(0 + 36m2 + -16w2) = 0
(36m2 + -16w2) = 0
Solving
36m2 + -16w2 = 0
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '16w2' to each side of the equation.
36m2 + -16w2 + 16w2 = 0 + 16w2
Combine like terms: -16w2 + 16w2 = 0
36m2 + 0 = 0 + 16w2
36m2 = 0 + 16w2
Remove the zero:
36m2 = 16w2
Divide each side by '36'.
m2 = 0.4444444444w2
Simplifying
m2 = 0.4444444444w2
Take the square root of each side:
m = {-0.666666667w, 0.666666667w}
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