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

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


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

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

Multiply (8 + v) * (-9 + 2v)
(8(-9 + 2v) + v(-9 + 2v)) = 0
((-9 * 8 + 2v * 8) + v(-9 + 2v)) = 0
((-72 + 16v) + v(-9 + 2v)) = 0
(-72 + 16v + (-9 * v + 2v * v)) = 0
(-72 + 16v + (-9v + 2v2)) = 0

Combine like terms: 16v + -9v = 7v
(-72 + 7v + 2v2) = 0

Solving
-72 + 7v + 2v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-8 + -1v)(9 + -2v) = 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 + -2v)' equal to zero and attempt to solve:

Simplifying
9 + -2v = 0

Solving
9 + -2v = 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 + -2v = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2v = 0 + -9
-2v = 0 + -9

Combine like terms: 0 + -9 = -9
-2v = -9

Divide each side by '-2'.
v = 4.5

Simplifying
v = 4.5
Solution
v = {-8, 4.5}

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