-2(v-9)(-v-8)=0

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Solution for -2(v-9)(-v-8)=0 equation: 


Simplifying
-2(v + -9)(-1v + -8) = 0

Reorder the terms:
-2(-9 + v)(-1v + -8) = 0

Reorder the terms:
-2(-9 + v)(-8 + -1v) = 0

Multiply (-9 + v) * (-8 + -1v)
-2(-9(-8 + -1v) + v(-8 + -1v)) = 0
-2((-8 * -9 + -1v * -9) + v(-8 + -1v)) = 0
-2((72 + 9v) + v(-8 + -1v)) = 0
-2(72 + 9v + (-8 * v + -1v * v)) = 0
-2(72 + 9v + (-8v + -1v2)) = 0

Combine like terms: 9v + -8v = 1v
-2(72 + 1v + -1v2) = 0
(72 * -2 + 1v * -2 + -1v2 * -2) = 0
(-144 + -2v + 2v2) = 0

Solving
-144 + -2v + 2v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-72 + -1v + v2) = 0

Factor a trinomial.
2((-8 + -1v)(9 + -1v)) = 0

Ignore the factor 2.

Subproblem 1
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

Subproblem 2
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
Solution
v = {-8, 9}

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