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Simplifying 4v2 + 12v + -135 = 0 Reorder the terms: -135 + 12v + 4v2 = 0 Solving -135 + 12v + 4v2 = 0 Solving for variable 'v'. Factor a trinomial. (-15 + -2v)(9 + -2v) = 0Subproblem 1
Set the factor '(-15 + -2v)' equal to zero and attempt to solve: Simplifying -15 + -2v = 0 Solving -15 + -2v = 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 + -2v = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -2v = 0 + 15 -2v = 0 + 15 Combine like terms: 0 + 15 = 15 -2v = 15 Divide each side by '-2'. v = -7.5 Simplifying v = -7.5Subproblem 2
Set the factor '(9 + -2v)' equal to zero and attempt to solve: Simplifying 9 + -2v = 0 Solving 9 + -2v = 0 Move all terms containing v to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2v = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2v = 0 + -9 -2v = 0 + -9 Combine like terms: 0 + -9 = -9 -2v = -9 Divide each side by '-2'. v = 4.5 Simplifying v = 4.5Solution
v = {-7.5, 4.5}
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