(7w+6v)(7w-6v)=

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Solution for (7w+6v)(7w-6v)= equation: 


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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