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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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