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Simplifying 4v2 + -30 = -2v Reorder the terms: -30 + 4v2 = -2v Solving -30 + 4v2 = -2v Solving for variable 'v'. Reorder the terms: -30 + 2v + 4v2 = -2v + 2v Combine like terms: -2v + 2v = 0 -30 + 2v + 4v2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-15 + v + 2v2) = 0 Factor a trinomial. 2((-3 + -1v)(5 + -2v)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-3 + -1v)' equal to zero and attempt to solve: Simplifying -3 + -1v = 0 Solving -3 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1v = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1v = 0 + 3 -1v = 0 + 3 Combine like terms: 0 + 3 = 3 -1v = 3 Divide each side by '-1'. v = -3 Simplifying v = -3Subproblem 2
Set the factor '(5 + -2v)' equal to zero and attempt to solve: Simplifying 5 + -2v = 0 Solving 5 + -2v = 0 Move all terms containing v to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2v = 0 + -5 -2v = 0 + -5 Combine like terms: 0 + -5 = -5 -2v = -5 Divide each side by '-2'. v = 2.5 Simplifying v = 2.5Solution
v = {-3, 2.5}
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