2v^2-22v-120=0

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Solution for 2v^2-22v-120=0 equation:


Simplifying
2v2 + -22v + -120 = 0

Reorder the terms:
-120 + -22v + 2v2 = 0

Solving
-120 + -22v + 2v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-60 + -11v + v2) = 0

Factor a trinomial.
2((-4 + -1v)(15 + -1v)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-4 + -1v)' equal to zero and attempt to solve: Simplifying -4 + -1v = 0 Solving -4 + -1v = 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 + -1v = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1v = 0 + 4 -1v = 0 + 4 Combine like terms: 0 + 4 = 4 -1v = 4 Divide each side by '-1'. v = -4 Simplifying v = -4

Subproblem 2

Set the factor '(15 + -1v)' equal to zero and attempt to solve: Simplifying 15 + -1v = 0 Solving 15 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1v = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1v = 0 + -15 -1v = 0 + -15 Combine like terms: 0 + -15 = -15 -1v = -15 Divide each side by '-1'. v = 15 Simplifying v = 15

Solution

v = {-4, 15}

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