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Simplifying 9v2 + 2v + -63 = 8v Reorder the terms: -63 + 2v + 9v2 = 8v Solving -63 + 2v + 9v2 = 8v Solving for variable 'v'. Reorder the terms: -63 + 2v + -8v + 9v2 = 8v + -8v Combine like terms: 2v + -8v = -6v -63 + -6v + 9v2 = 8v + -8v Combine like terms: 8v + -8v = 0 -63 + -6v + 9v2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-21 + -2v + 3v2) = 0 Factor a trinomial. 3((-7 + -3v)(3 + -1v)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-7 + -3v)' equal to zero and attempt to solve: Simplifying -7 + -3v = 0 Solving -7 + -3v = 0 Move all terms containing v to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -3v = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3v = 0 + 7 -3v = 0 + 7 Combine like terms: 0 + 7 = 7 -3v = 7 Divide each side by '-3'. v = -2.333333333 Simplifying v = -2.333333333Subproblem 2
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 = 3Solution
v = {-2.333333333, 3}
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