(v+7)(v-8)=0

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Solution for (v+7)(v-8)=0 equation: 


Simplifying
(v + 7)(v + -8) = 0

Reorder the terms:
(7 + v)(v + -8) = 0

Reorder the terms:
(7 + v)(-8 + v) = 0

Multiply (7 + v) * (-8 + v)
(7(-8 + v) + v(-8 + v)) = 0
((-8 * 7 + v * 7) + v(-8 + v)) = 0
((-56 + 7v) + v(-8 + v)) = 0
(-56 + 7v + (-8 * v + v * v)) = 0
(-56 + 7v + (-8v + v2)) = 0

Combine like terms: 7v + -8v = -1v
(-56 + -1v + v2) = 0

Solving
-56 + -1v + v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-7 + -1v)(8 + -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 '(8 + -1v)' equal to zero and attempt to solve:

Simplifying
8 + -1v = 0

Solving
8 + -1v = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1v = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1v = 0 + -8
-1v = 0 + -8

Combine like terms: 0 + -8 = -8
-1v = -8

Divide each side by '-1'.
v = 8

Simplifying
v = 8
Solution
v = {-7, 8}

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