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Simplifying 44v2 + -136v + 12 = 0 Reorder the terms: 12 + -136v + 44v2 = 0 Solving 12 + -136v + 44v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '4'. 4(3 + -34v + 11v2) = 0 Factor a trinomial. 4((1 + -11v)(3 + -1v)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(1 + -11v)' equal to zero and attempt to solve: Simplifying 1 + -11v = 0 Solving 1 + -11v = 0 Move all terms containing v to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -11v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -11v = 0 + -1 -11v = 0 + -1 Combine like terms: 0 + -1 = -1 -11v = -1 Divide each side by '-11'. v = 0.09090909091 Simplifying v = 0.09090909091Subproblem 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 = {0.09090909091, 3}
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