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Simplifying
(v + 7)(v + -7) = 0
Reorder the terms:
(7 + v)(v + -7) = 0
Reorder the terms:
(7 + v)(-7 + v) = 0
Multiply (7 + v) * (-7 + v)
(7(-7 + v) + v(-7 + v)) = 0
((-7 * 7 + v * 7) + v(-7 + v)) = 0
((-49 + 7v) + v(-7 + v)) = 0
(-49 + 7v + (-7 * v + v * v)) = 0
(-49 + 7v + (-7v + v2)) = 0
Combine like terms: 7v + -7v = 0
(-49 + 0 + v2) = 0
(-49 + v2) = 0
Solving
-49 + v2 = 0
Solving for variable 'v'.
Move all terms containing v to the left, all other terms to the right.
Add '49' to each side of the equation.
-49 + 49 + v2 = 0 + 49
Combine like terms: -49 + 49 = 0
0 + v2 = 0 + 49
v2 = 0 + 49
Combine like terms: 0 + 49 = 49
v2 = 49
Simplifying
v2 = 49
Take the square root of each side:
v = {-7, 7}
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