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Simplifying 6v2 + -144 = -12v Reorder the terms: -144 + 6v2 = -12v Solving -144 + 6v2 = -12v Solving for variable 'v'. Reorder the terms: -144 + 12v + 6v2 = -12v + 12v Combine like terms: -12v + 12v = 0 -144 + 12v + 6v2 = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-24 + 2v + v2) = 0 Factor a trinomial. 6((-6 + -1v)(4 + -1v)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-6 + -1v)' equal to zero and attempt to solve: Simplifying -6 + -1v = 0 Solving -6 + -1v = 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 + -1v = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1v = 0 + 6 -1v = 0 + 6 Combine like terms: 0 + 6 = 6 -1v = 6 Divide each side by '-1'. v = -6 Simplifying v = -6Subproblem 2
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 = 4Solution
v = {-6, 4}
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