(v+9)(v-12)=0

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Solution for (v+9)(v-12)=0 equation: 


Simplifying
(v + 9)(v + -12) = 0

Reorder the terms:
(9 + v)(v + -12) = 0

Reorder the terms:
(9 + v)(-12 + v) = 0

Multiply (9 + v) * (-12 + v)
(9(-12 + v) + v(-12 + v)) = 0
((-12 * 9 + v * 9) + v(-12 + v)) = 0
((-108 + 9v) + v(-12 + v)) = 0
(-108 + 9v + (-12 * v + v * v)) = 0
(-108 + 9v + (-12v + v2)) = 0

Combine like terms: 9v + -12v = -3v
(-108 + -3v + v2) = 0

Solving
-108 + -3v + v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-9 + -1v)(12 + -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 '(12 + -1v)' equal to zero and attempt to solve:

Simplifying
12 + -1v = 0

Solving
12 + -1v = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1v = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1v = 0 + -12
-1v = 0 + -12

Combine like terms: 0 + -12 = -12
-1v = -12

Divide each side by '-1'.
v = 12

Simplifying
v = 12
Solution
v = {-9, 12}

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