(v+7)(v-15)=0

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Solution for (v+7)(v-15)=0 equation: 


Simplifying
(v + 7)(v + -15) = 0

Reorder the terms:
(7 + v)(v + -15) = 0

Reorder the terms:
(7 + v)(-15 + v) = 0

Multiply (7 + v) * (-15 + v)
(7(-15 + v) + v(-15 + v)) = 0
((-15 * 7 + v * 7) + v(-15 + v)) = 0
((-105 + 7v) + v(-15 + v)) = 0
(-105 + 7v + (-15 * v + v * v)) = 0
(-105 + 7v + (-15v + v2)) = 0

Combine like terms: 7v + -15v = -8v
(-105 + -8v + v2) = 0

Solving
-105 + -8v + v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-7 + -1v)(15 + -1v) = 0


Subproblem 1
Set the factor '(-7 + -1v)' equal to zero and attempt to solve:

Simplifying
-7 + -1v = 0

Solving
-7 + -1v = 0

Move all terms containing v to the left, all other terms to the right.

Add '7' to each side of the equation.
-7 + 7 + -1v = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1v = 0 + 7
-1v = 0 + 7

Combine like terms: 0 + 7 = 7
-1v = 7

Divide each side by '-1'.
v = -7

Simplifying
v = -7

Subproblem 2
Set the factor '(15 + -1v)' equal to zero and attempt to solve:

Simplifying
15 + -1v = 0

Solving
15 + -1v = 0

Move all terms containing v to the left, all other terms to the right.

Add '-15' to each side of the equation.
15 + -15 + -1v = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1v = 0 + -15
-1v = 0 + -15

Combine like terms: 0 + -15 = -15
-1v = -15

Divide each side by '-1'.
v = 15

Simplifying
v = 15
Solution
v = {-7, 15}

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