4v(v+7)(v-5)=0

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Solution for 4v(v+7)(v-5)=0 equation: 


Simplifying
4v(v + 7)(v + -5) = 0

Reorder the terms:
4v(7 + v)(v + -5) = 0

Reorder the terms:
4v(7 + v)(-5 + v) = 0

Multiply (7 + v) * (-5 + v)
4v(7(-5 + v) + v(-5 + v)) = 0
4v((-5 * 7 + v * 7) + v(-5 + v)) = 0
4v((-35 + 7v) + v(-5 + v)) = 0
4v(-35 + 7v + (-5 * v + v * v)) = 0
4v(-35 + 7v + (-5v + v2)) = 0

Combine like terms: 7v + -5v = 2v
4v(-35 + 2v + v2) = 0
(-35 * 4v + 2v * 4v + v2 * 4v) = 0
(-140v + 8v2 + 4v3) = 0

Solving
-140v + 8v2 + 4v3 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '4v'.
4v(-35 + 2v + v2) = 0

Factor a trinomial.
4v((-7 + -1v)(5 + -1v)) = 0

Ignore the factor 4.

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 '(-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 3
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
Solution
v = {0, -7, 5}

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