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Simplifying
(5v + 5)(5v + -5) = 0
Reorder the terms:
(5 + 5v)(5v + -5) = 0
Reorder the terms:
(5 + 5v)(-5 + 5v) = 0
Multiply (5 + 5v) * (-5 + 5v)
(5(-5 + 5v) + 5v * (-5 + 5v)) = 0
((-5 * 5 + 5v * 5) + 5v * (-5 + 5v)) = 0
((-25 + 25v) + 5v * (-5 + 5v)) = 0
(-25 + 25v + (-5 * 5v + 5v * 5v)) = 0
(-25 + 25v + (-25v + 25v2)) = 0
Combine like terms: 25v + -25v = 0
(-25 + 0 + 25v2) = 0
(-25 + 25v2) = 0
Solving
-25 + 25v2 = 0
Solving for variable 'v'.
Move all terms containing v to the left, all other terms to the right.
Add '25' to each side of the equation.
-25 + 25 + 25v2 = 0 + 25
Combine like terms: -25 + 25 = 0
0 + 25v2 = 0 + 25
25v2 = 0 + 25
Combine like terms: 0 + 25 = 25
25v2 = 25
Divide each side by '25'.
v2 = 1
Simplifying
v2 = 1
Take the square root of each side:
v = {-1, 1}
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