-5v(v+7)(v+3)=0

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Solution for -5v(v+7)(v+3)=0 equation: 


Simplifying
-5v(v + 7)(v + 3) = 0

Reorder the terms:
-5v(7 + v)(v + 3) = 0

Reorder the terms:
-5v(7 + v)(3 + v) = 0

Multiply (7 + v) * (3 + v)
-5v(7(3 + v) + v(3 + v)) = 0
-5v((3 * 7 + v * 7) + v(3 + v)) = 0
-5v((21 + 7v) + v(3 + v)) = 0
-5v(21 + 7v + (3 * v + v * v)) = 0
-5v(21 + 7v + (3v + v2)) = 0

Combine like terms: 7v + 3v = 10v
-5v(21 + 10v + v2) = 0
(21 * -5v + 10v * -5v + v2 * -5v) = 0
(-105v + -50v2 + -5v3) = 0

Solving
-105v + -50v2 + -5v3 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '-5v'.
-5v(21 + 10v + v2) = 0

Factor a trinomial.
-5v((7 + v)(3 + v)) = 0

Ignore the factor -5.

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 + 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

Subproblem 3
Set the factor '(3 + v)' equal to zero and attempt to solve:

Simplifying
3 + v = 0

Solving
3 + v = 0

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

Add '-3' to each side of the equation.
3 + -3 + v = 0 + -3

Combine like terms: 3 + -3 = 0
0 + v = 0 + -3
v = 0 + -3

Combine like terms: 0 + -3 = -3
v = -3

Simplifying
v = -3
Solution
v = {0, -7, -3}

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