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Simplifying
(7w + -6v)(7w + 6v) = 0
Reorder the terms:
(-6v + 7w)(7w + 6v) = 0
Reorder the terms:
(-6v + 7w)(6v + 7w) = 0
Multiply (-6v + 7w) * (6v + 7w)
(-6v * (6v + 7w) + 7w * (6v + 7w)) = 0
((6v * -6v + 7w * -6v) + 7w * (6v + 7w)) = 0
Reorder the terms:
((-42vw + -36v2) + 7w * (6v + 7w)) = 0
((-42vw + -36v2) + 7w * (6v + 7w)) = 0
(-42vw + -36v2 + (6v * 7w + 7w * 7w)) = 0
(-42vw + -36v2 + (42vw + 49w2)) = 0
Reorder the terms:
(-42vw + 42vw + -36v2 + 49w2) = 0
Combine like terms: -42vw + 42vw = 0
(0 + -36v2 + 49w2) = 0
(-36v2 + 49w2) = 0
Solving
-36v2 + 49w2 = 0
Solving for variable 'v'.
Move all terms containing v to the left, all other terms to the right.
Add '-49w2' to each side of the equation.
-36v2 + 49w2 + -49w2 = 0 + -49w2
Combine like terms: 49w2 + -49w2 = 0
-36v2 + 0 = 0 + -49w2
-36v2 = 0 + -49w2
Remove the zero:
-36v2 = -49w2
Divide each side by '-36'.
v2 = 1.361111111w2
Simplifying
v2 = 1.361111111w2
Take the square root of each side:
v = {-1.166666667w, 1.166666667w}
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