-2v(v-5)(v+7)=0

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Solution for -2v(v-5)(v+7)=0 equation: 


Simplifying
-2v(v + -5)(v + 7) = 0

Reorder the terms:
-2v(-5 + v)(v + 7) = 0

Reorder the terms:
-2v(-5 + v)(7 + v) = 0

Multiply (-5 + v) * (7 + v)
-2v(-5(7 + v) + v(7 + v)) = 0
-2v((7 * -5 + v * -5) + v(7 + v)) = 0
-2v((-35 + -5v) + v(7 + v)) = 0
-2v(-35 + -5v + (7 * v + v * v)) = 0
-2v(-35 + -5v + (7v + v2)) = 0

Combine like terms: -5v + 7v = 2v
-2v(-35 + 2v + v2) = 0
(-35 * -2v + 2v * -2v + v2 * -2v) = 0
(70v + -4v2 + -2v3) = 0

Solving
70v + -4v2 + -2v3 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '2v'.
2v(35 + -2v + -1v2) = 0

Factor a trinomial.
2v((5 + -1v)(7 + v)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'v' equal to zero and attempt to solve:

Simplifying
v = 0

Solving
v = 0

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

Simplifying
v = 0

Subproblem 2
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 3
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 = {0, 5, -7}

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