5(v+9)(-v-7)=0

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Solution for 5(v+9)(-v-7)=0 equation: 


Simplifying
5(v + 9)(-1v + -7) = 0

Reorder the terms:
5(9 + v)(-1v + -7) = 0

Reorder the terms:
5(9 + v)(-7 + -1v) = 0

Multiply (9 + v) * (-7 + -1v)
5(9(-7 + -1v) + v(-7 + -1v)) = 0
5((-7 * 9 + -1v * 9) + v(-7 + -1v)) = 0
5((-63 + -9v) + v(-7 + -1v)) = 0
5(-63 + -9v + (-7 * v + -1v * v)) = 0
5(-63 + -9v + (-7v + -1v2)) = 0

Combine like terms: -9v + -7v = -16v
5(-63 + -16v + -1v2) = 0
(-63 * 5 + -16v * 5 + -1v2 * 5) = 0
(-315 + -80v + -5v2) = 0

Solving
-315 + -80v + -5v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '-5'.
-5(63 + 16v + v2) = 0

Factor a trinomial.
-5((9 + v)(7 + v)) = 0

Ignore the factor -5.

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 '(7 + v)' equal to zero and attempt to solve:

Simplifying
7 + v = 0

Solving
7 + v = 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 + v = 0 + -7

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

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

Simplifying
v = -7
Solution
v = {-9, -7}

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