(v+9)(v-8)=0

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Solution for (v+9)(v-8)=0 equation: 


Simplifying
(v + 9)(v + -8) = 0

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

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

Multiply (9 + v) * (-8 + v)
(9(-8 + v) + v(-8 + v)) = 0
((-8 * 9 + v * 9) + v(-8 + v)) = 0
((-72 + 9v) + v(-8 + v)) = 0
(-72 + 9v + (-8 * v + v * v)) = 0
(-72 + 9v + (-8v + v2)) = 0

Combine like terms: 9v + -8v = 1v
(-72 + 1v + v2) = 0

Solving
-72 + 1v + v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-9 + -1v)(8 + -1v) = 0


Subproblem 1
Set the factor '(-9 + -1v)' equal to zero and attempt to solve:

Simplifying
-9 + -1v = 0

Solving
-9 + -1v = 0

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

Add '9' to each side of the equation.
-9 + 9 + -1v = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1v = 0 + 9
-1v = 0 + 9

Combine like terms: 0 + 9 = 9
-1v = 9

Divide each side by '-1'.
v = -9

Simplifying
v = -9

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 = {-9, 8}

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