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Simplifying
(2v + 4)(2v + -4) = 0
Reorder the terms:
(4 + 2v)(2v + -4) = 0
Reorder the terms:
(4 + 2v)(-4 + 2v) = 0
Multiply (4 + 2v) * (-4 + 2v)
(4(-4 + 2v) + 2v * (-4 + 2v)) = 0
((-4 * 4 + 2v * 4) + 2v * (-4 + 2v)) = 0
((-16 + 8v) + 2v * (-4 + 2v)) = 0
(-16 + 8v + (-4 * 2v + 2v * 2v)) = 0
(-16 + 8v + (-8v + 4v2)) = 0
Combine like terms: 8v + -8v = 0
(-16 + 0 + 4v2) = 0
(-16 + 4v2) = 0
Solving
-16 + 4v2 = 0
Solving for variable 'v'.
Move all terms containing v to the left, all other terms to the right.
Add '16' to each side of the equation.
-16 + 16 + 4v2 = 0 + 16
Combine like terms: -16 + 16 = 0
0 + 4v2 = 0 + 16
4v2 = 0 + 16
Combine like terms: 0 + 16 = 16
4v2 = 16
Divide each side by '4'.
v2 = 4
Simplifying
v2 = 4
Take the square root of each side:
v = {-2, 2}
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