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Simplifying 2v2 + 20v + -48 = 0 Reorder the terms: -48 + 20v + 2v2 = 0 Solving -48 + 20v + 2v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '2'. 2(-24 + 10v + v2) = 0 Factor a trinomial. 2((-12 + -1v)(2 + -1v)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-12 + -1v)' equal to zero and attempt to solve: Simplifying -12 + -1v = 0 Solving -12 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1v = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1v = 0 + 12 -1v = 0 + 12 Combine like terms: 0 + 12 = 12 -1v = 12 Divide each side by '-1'. v = -12 Simplifying v = -12Subproblem 2
Set the factor '(2 + -1v)' equal to zero and attempt to solve: Simplifying 2 + -1v = 0 Solving 2 + -1v = 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 + -1v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1v = 0 + -2 -1v = 0 + -2 Combine like terms: 0 + -2 = -2 -1v = -2 Divide each side by '-1'. v = 2 Simplifying v = 2Solution
v = {-12, 2}
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