120v^2-8v-16=0

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Solution for 120v^2-8v-16=0 equation:


Simplifying
120v2 + -8v + -16 = 0

Reorder the terms:
-16 + -8v + 120v2 = 0

Solving
-16 + -8v + 120v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '8'.
8(-2 + -1v + 15v2) = 0

Factor a trinomial.
8((-1 + -3v)(2 + -5v)) = 0

Ignore the factor 8.

Subproblem 1

Set the factor '(-1 + -3v)' equal to zero and attempt to solve: Simplifying -1 + -3v = 0 Solving -1 + -3v = 0 Move all terms containing v to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -3v = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3v = 0 + 1 -3v = 0 + 1 Combine like terms: 0 + 1 = 1 -3v = 1 Divide each side by '-3'. v = -0.3333333333 Simplifying v = -0.3333333333

Subproblem 2

Set the factor '(2 + -5v)' equal to zero and attempt to solve: Simplifying 2 + -5v = 0 Solving 2 + -5v = 0 Move all terms containing v to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5v = 0 + -2 -5v = 0 + -2 Combine like terms: 0 + -2 = -2 -5v = -2 Divide each side by '-5'. v = 0.4 Simplifying v = 0.4

Solution

v = {-0.3333333333, 0.4}

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