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

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Solution for 4(v-9)(-v+8)=0 equation: 


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

Reorder the terms:
4(-9 + v)(-1v + 8) = 0

Reorder the terms:
4(-9 + v)(8 + -1v) = 0

Multiply (-9 + v) * (8 + -1v)
4(-9(8 + -1v) + v(8 + -1v)) = 0
4((8 * -9 + -1v * -9) + v(8 + -1v)) = 0
4((-72 + 9v) + v(8 + -1v)) = 0
4(-72 + 9v + (8 * v + -1v * v)) = 0
4(-72 + 9v + (8v + -1v2)) = 0

Combine like terms: 9v + 8v = 17v
4(-72 + 17v + -1v2) = 0
(-72 * 4 + 17v * 4 + -1v2 * 4) = 0
(-288 + 68v + -4v2) = 0

Solving
-288 + 68v + -4v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-72 + 17v + -1v2) = 0

Factor a trinomial.
4((-9 + v)(8 + -1v)) = 0

Ignore the factor 4.

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

Simplifying
-9 + v = 0

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

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

Combine like terms: 0 + 9 = 9
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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