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

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


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

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

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

Multiply (-7 + v) * (-5 + -1v)
-5(-7(-5 + -1v) + v(-5 + -1v)) = 0
-5((-5 * -7 + -1v * -7) + v(-5 + -1v)) = 0
-5((35 + 7v) + v(-5 + -1v)) = 0
-5(35 + 7v + (-5 * v + -1v * v)) = 0
-5(35 + 7v + (-5v + -1v2)) = 0

Combine like terms: 7v + -5v = 2v
-5(35 + 2v + -1v2) = 0
(35 * -5 + 2v * -5 + -1v2 * -5) = 0
(-175 + -10v + 5v2) = 0

Solving
-175 + -10v + 5v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-35 + -2v + v2) = 0

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

Ignore the factor 5.

Subproblem 1
Set the factor '(-5 + -1v)' equal to zero and attempt to solve:

Simplifying
-5 + -1v = 0

Solving
-5 + -1v = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1v = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1v = 0 + 5
-1v = 0 + 5

Combine like terms: 0 + 5 = 5
-1v = 5

Divide each side by '-1'.
v = -5

Simplifying
v = -5

Subproblem 2
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
Solution
v = {-5, 7}

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