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

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

Simplifying
(5w + -1v)(5w + v) = 0

Reorder the terms:
(-1v + 5w)(5w + v) = 0

Reorder the terms:
(-1v + 5w)(v + 5w) = 0

Multiply (-1v + 5w) * (v + 5w)
(-1v * (v + 5w) + 5w * (v + 5w)) = 0
((v * -1v + 5w * -1v) + 5w * (v + 5w)) = 0

Reorder the terms:
((-5vw + -1v2) + 5w * (v + 5w)) = 0
((-5vw + -1v2) + 5w * (v + 5w)) = 0
(-5vw + -1v2 + (v * 5w + 5w * 5w)) = 0
(-5vw + -1v2 + (5vw + 25w2)) = 0

Reorder the terms:
(-5vw + 5vw + -1v2 + 25w2) = 0

Combine like terms: -5vw + 5vw = 0
(0 + -1v2 + 25w2) = 0
(-1v2 + 25w2) = 0

Solving
-1v2 + 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.
-1v2 + 25w2 + -25w2 = 0 + -25w2

Combine like terms: 25w2 + -25w2 = 0
-1v2 + 0 = 0 + -25w2
-1v2 = 0 + -25w2
Remove the zero:
-1v2 = -25w2

Divide each side by '-1'.
v2 = 25w2

Simplifying
v2 = 25w2

Take the square root of each side:
v = {-5w, 5w}