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Simplifying 252v3 + -594v2 + 324v = 0 Reorder the terms: 324v + -594v2 + 252v3 = 0 Solving 324v + -594v2 + 252v3 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '18v'. 18v(18 + -33v + 14v2) = 0 Factor a trinomial. 18v((6 + -7v)(3 + -2v)) = 0 Ignore the factor 18.Subproblem 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 '(6 + -7v)' equal to zero and attempt to solve: Simplifying 6 + -7v = 0 Solving 6 + -7v = 0 Move all terms containing v to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -7v = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -7v = 0 + -6 -7v = 0 + -6 Combine like terms: 0 + -6 = -6 -7v = -6 Divide each side by '-7'. v = 0.8571428571 Simplifying v = 0.8571428571Subproblem 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 = {0, 0.8571428571, 1.5}
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