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Simplifying 2v2 + 8v + -87 = 3 Reorder the terms: -87 + 8v + 2v2 = 3 Solving -87 + 8v + 2v2 = 3 Solving for variable 'v'. Reorder the terms: -87 + -3 + 8v + 2v2 = 3 + -3 Combine like terms: -87 + -3 = -90 -90 + 8v + 2v2 = 3 + -3 Combine like terms: 3 + -3 = 0 -90 + 8v + 2v2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-45 + 4v + v2) = 0 Factor a trinomial. 2((-9 + -1v)(5 + -1v)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-9 + -1v)' equal to zero and attempt to solve: Simplifying -9 + -1v = 0 Solving -9 + -1v = 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 + -1v = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1v = 0 + 9 -1v = 0 + 9 Combine like terms: 0 + 9 = 9 -1v = 9 Divide each side by '-1'. v = -9 Simplifying v = -9Subproblem 2
Set the factor '(5 + -1v)' equal to zero and attempt to solve: Simplifying 5 + -1v = 0 Solving 5 + -1v = 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 + -1v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1v = 0 + -5 -1v = 0 + -5 Combine like terms: 0 + -5 = -5 -1v = -5 Divide each side by '-1'. v = 5 Simplifying v = 5Solution
v = {-9, 5}
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