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Simplifying 7v3 + 9v2 + -10v = 0 Reorder the terms: -10v + 9v2 + 7v3 = 0 Solving -10v + 9v2 + 7v3 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), 'v'. v(-10 + 9v + 7v2) = 0 Factor a trinomial. v((-2 + -1v)(5 + -7v)) = 0Subproblem 1
Set the factor 'v' equal to zero and attempt to solve: Simplifying v = 0 Solving v = 0 Move all terms containing v to the left, all other terms to the right. Simplifying v = 0Subproblem 2
Set the factor '(-2 + -1v)' equal to zero and attempt to solve: Simplifying -2 + -1v = 0 Solving -2 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1v = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1v = 0 + 2 -1v = 0 + 2 Combine like terms: 0 + 2 = 2 -1v = 2 Divide each side by '-1'. v = -2 Simplifying v = -2Subproblem 3
Set the factor '(5 + -7v)' equal to zero and attempt to solve: Simplifying 5 + -7v = 0 Solving 5 + -7v = 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 + -7v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7v = 0 + -5 -7v = 0 + -5 Combine like terms: 0 + -5 = -5 -7v = -5 Divide each side by '-7'. v = 0.7142857143 Simplifying v = 0.7142857143Solution
v = {0, -2, 0.7142857143}
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