(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.
(-8 + -1v)(9 + -1v) = 0


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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