(v+7)(v-7)=0

Solution for (v+7)(v-7)=0 equation:

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}