-5(v+4)(-v-6)=0

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Solution for -5(v+4)(-v-6)=0 equation:


Simplifying
-5(v + 4)(-1v + -6) = 0

Reorder the terms:
-5(4 + v)(-1v + -6) = 0

Reorder the terms:
-5(4 + v)(-6 + -1v) = 0

Multiply (4 + v) * (-6 + -1v)
-5(4(-6 + -1v) + v(-6 + -1v)) = 0
-5((-6 * 4 + -1v * 4) + v(-6 + -1v)) = 0
-5((-24 + -4v) + v(-6 + -1v)) = 0
-5(-24 + -4v + (-6 * v + -1v * v)) = 0
-5(-24 + -4v + (-6v + -1v2)) = 0

Combine like terms: -4v + -6v = -10v
-5(-24 + -10v + -1v2) = 0
(-24 * -5 + -10v * -5 + -1v2 * -5) = 0
(120 + 50v + 5v2) = 0

Solving
120 + 50v + 5v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '5'.
5(24 + 10v + v2) = 0

Factor a trinomial.
5((6 + v)(4 + v)) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(6 + v)' equal to zero and attempt to solve: Simplifying 6 + v = 0 Solving 6 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + v = 0 + -6 Combine like terms: 6 + -6 = 0 0 + v = 0 + -6 v = 0 + -6 Combine like terms: 0 + -6 = -6 v = -6 Simplifying v = -6

Subproblem 2

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 = {-6, -4}

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