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Simplifying
(8w + -7v)(8w + 7v) = 0
Reorder the terms:
(-7v + 8w)(8w + 7v) = 0
Reorder the terms:
(-7v + 8w)(7v + 8w) = 0
Multiply (-7v + 8w) * (7v + 8w)
(-7v * (7v + 8w) + 8w * (7v + 8w)) = 0
((7v * -7v + 8w * -7v) + 8w * (7v + 8w)) = 0
Reorder the terms:
((-56vw + -49v2) + 8w * (7v + 8w)) = 0
((-56vw + -49v2) + 8w * (7v + 8w)) = 0
(-56vw + -49v2 + (7v * 8w + 8w * 8w)) = 0
(-56vw + -49v2 + (56vw + 64w2)) = 0
Reorder the terms:
(-56vw + 56vw + -49v2 + 64w2) = 0
Combine like terms: -56vw + 56vw = 0
(0 + -49v2 + 64w2) = 0
(-49v2 + 64w2) = 0
Solving
-49v2 + 64w2 = 0
Solving for variable 'v'.
Move all terms containing v to the left, all other terms to the right.
Add '-64w2' to each side of the equation.
-49v2 + 64w2 + -64w2 = 0 + -64w2
Combine like terms: 64w2 + -64w2 = 0
-49v2 + 0 = 0 + -64w2
-49v2 = 0 + -64w2
Remove the zero:
-49v2 = -64w2
Divide each side by '-49'.
v2 = 1.306122449w2
Simplifying
v2 = 1.306122449w2
Take the square root of each side:
v = {-1.142857143w, 1.142857143w}
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