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Simplifying 9v2 + -37v + -40 = 0 Reorder the terms: -40 + -37v + 9v2 = 0 Solving -40 + -37v + 9v2 = 0 Solving for variable 'v'. Factor a trinomial. (-8 + -9v)(5 + -1v) = 0Subproblem 1
Set the factor '(-8 + -9v)' equal to zero and attempt to solve: Simplifying -8 + -9v = 0 Solving -8 + -9v = 0 Move all terms containing v to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -9v = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -9v = 0 + 8 -9v = 0 + 8 Combine like terms: 0 + 8 = 8 -9v = 8 Divide each side by '-9'. v = -0.8888888889 Simplifying v = -0.8888888889Subproblem 2
Set the factor '(5 + -1v)' equal to zero and attempt to solve: Simplifying 5 + -1v = 0 Solving 5 + -1v = 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 + -1v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1v = 0 + -5 -1v = 0 + -5 Combine like terms: 0 + -5 = -5 -1v = -5 Divide each side by '-1'. v = 5 Simplifying v = 5Solution
v = {-0.8888888889, 5}
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