-5v(v-9)(v+4)=0

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Solution for -5v(v-9)(v+4)=0 equation:


Simplifying
-5v(v + -9)(v + 4) = 0

Reorder the terms:
-5v(-9 + v)(v + 4) = 0

Reorder the terms:
-5v(-9 + v)(4 + v) = 0

Multiply (-9 + v) * (4 + v)
-5v(-9(4 + v) + v(4 + v)) = 0
-5v((4 * -9 + v * -9) + v(4 + v)) = 0
-5v((-36 + -9v) + v(4 + v)) = 0
-5v(-36 + -9v + (4 * v + v * v)) = 0
-5v(-36 + -9v + (4v + v2)) = 0

Combine like terms: -9v + 4v = -5v
-5v(-36 + -5v + v2) = 0
(-36 * -5v + -5v * -5v + v2 * -5v) = 0
(180v + 25v2 + -5v3) = 0

Solving
180v + 25v2 + -5v3 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '5v'.
5v(36 + 5v + -1v2) = 0

Factor a trinomial.
5v((9 + -1v)(4 + 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 '(9 + -1v)' equal to zero and attempt to solve: Simplifying 9 + -1v = 0 Solving 9 + -1v = 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 + -1v = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1v = 0 + -9 -1v = 0 + -9 Combine like terms: 0 + -9 = -9 -1v = -9 Divide each side by '-1'. v = 9 Simplifying v = 9

Subproblem 3

Set the factor '(4 + v)' equal to zero and attempt to solve: Simplifying 4 + v = 0 Solving 4 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + v = 0 + -4 v = 0 + -4 Combine like terms: 0 + -4 = -4 v = -4 Simplifying v = -4

Solution

v = {0, 9, -4}

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