(9w-8v)(9w+8v)=

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Solution for (9w-8v)(9w+8v)= equation: 


Simplifying
(9w + -8v)(9w + 8v) = 0

Reorder the terms:
(-8v + 9w)(9w + 8v) = 0

Reorder the terms:
(-8v + 9w)(8v + 9w) = 0

Multiply (-8v + 9w) * (8v + 9w)
(-8v * (8v + 9w) + 9w * (8v + 9w)) = 0
((8v * -8v + 9w * -8v) + 9w * (8v + 9w)) = 0

Reorder the terms:
((-72vw + -64v2) + 9w * (8v + 9w)) = 0
((-72vw + -64v2) + 9w * (8v + 9w)) = 0
(-72vw + -64v2 + (8v * 9w + 9w * 9w)) = 0
(-72vw + -64v2 + (72vw + 81w2)) = 0

Reorder the terms:
(-72vw + 72vw + -64v2 + 81w2) = 0

Combine like terms: -72vw + 72vw = 0
(0 + -64v2 + 81w2) = 0
(-64v2 + 81w2) = 0

Solving
-64v2 + 81w2 = 0

Solving for variable 'v'.

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

Add '-81w2' to each side of the equation.
-64v2 + 81w2 + -81w2 = 0 + -81w2

Combine like terms: 81w2 + -81w2 = 0
-64v2 + 0 = 0 + -81w2
-64v2 = 0 + -81w2
Remove the zero:
-64v2 = -81w2

Divide each side by '-64'.
v2 = 1.265625w2

Simplifying
v2 = 1.265625w2

Take the square root of each side:
v = {-1.125w, 1.125w}

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