-5(v-7)(-v+8)=0

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Solution for -5(v-7)(-v+8)=0 equation: 


Simplifying
-5(v + -7)(-1v + 8) = 0

Reorder the terms:
-5(-7 + v)(-1v + 8) = 0

Reorder the terms:
-5(-7 + v)(8 + -1v) = 0

Multiply (-7 + v) * (8 + -1v)
-5(-7(8 + -1v) + v(8 + -1v)) = 0
-5((8 * -7 + -1v * -7) + v(8 + -1v)) = 0
-5((-56 + 7v) + v(8 + -1v)) = 0
-5(-56 + 7v + (8 * v + -1v * v)) = 0
-5(-56 + 7v + (8v + -1v2)) = 0

Combine like terms: 7v + 8v = 15v
-5(-56 + 15v + -1v2) = 0
(-56 * -5 + 15v * -5 + -1v2 * -5) = 0
(280 + -75v + 5v2) = 0

Solving
280 + -75v + 5v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '5'.
5(56 + -15v + v2) = 0

Factor a trinomial.
5((7 + -1v)(8 + -1v)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(7 + -1v)' equal to zero and attempt to solve:

Simplifying
7 + -1v = 0

Solving
7 + -1v = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1v = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1v = 0 + -7
-1v = 0 + -7

Combine like terms: 0 + -7 = -7
-1v = -7

Divide each side by '-1'.
v = 7

Simplifying
v = 7

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 = {7, 8}

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