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Simplifying 8v7 + 12v6 + -36v5 = 0 Reorder the terms: -36v5 + 12v6 + 8v7 = 0 Solving -36v5 + 12v6 + 8v7 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '4v5'. 4v5(-9 + 3v + 2v2) = 0 Factor a trinomial. 4v5((-3 + -1v)(3 + -2v)) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'v5' equal to zero and attempt to solve: Simplifying v5 = 0 Solving v5 = 0 Move all terms containing v to the left, all other terms to the right. Simplifying v5 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 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 = -3Subproblem 3
Set the factor '(3 + -2v)' equal to zero and attempt to solve: Simplifying 3 + -2v = 0 Solving 3 + -2v = 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 + -2v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2v = 0 + -3 -2v = 0 + -3 Combine like terms: 0 + -3 = -3 -2v = -3 Divide each side by '-2'. v = 1.5 Simplifying v = 1.5Solution
v = {-3, 1.5}
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