(5w-7v)(5w+7v)=

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Solution for (5w-7v)(5w+7v)= equation: 


Simplifying
(5w + -7v)(5w + 7v) = 0

Reorder the terms:
(-7v + 5w)(5w + 7v) = 0

Reorder the terms:
(-7v + 5w)(7v + 5w) = 0

Multiply (-7v + 5w) * (7v + 5w)
(-7v * (7v + 5w) + 5w * (7v + 5w)) = 0
((7v * -7v + 5w * -7v) + 5w * (7v + 5w)) = 0

Reorder the terms:
((-35vw + -49v2) + 5w * (7v + 5w)) = 0
((-35vw + -49v2) + 5w * (7v + 5w)) = 0
(-35vw + -49v2 + (7v * 5w + 5w * 5w)) = 0
(-35vw + -49v2 + (35vw + 25w2)) = 0

Reorder the terms:
(-35vw + 35vw + -49v2 + 25w2) = 0

Combine like terms: -35vw + 35vw = 0
(0 + -49v2 + 25w2) = 0
(-49v2 + 25w2) = 0

Solving
-49v2 + 25w2 = 0

Solving for variable 'v'.

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

Add '-25w2' to each side of the equation.
-49v2 + 25w2 + -25w2 = 0 + -25w2

Combine like terms: 25w2 + -25w2 = 0
-49v2 + 0 = 0 + -25w2
-49v2 = 0 + -25w2
Remove the zero:
-49v2 = -25w2

Divide each side by '-49'.
v2 = 0.5102040816w2

Simplifying
v2 = 0.5102040816w2

Take the square root of each side:
v = {-0.714285714w, 0.714285714w}

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