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Simplifying -35v2 + 81v + -40 = 0 Reorder the terms: -40 + 81v + -35v2 = 0 Solving -40 + 81v + -35v2 = 0 Solving for variable 'v'. Factor a trinomial. (-8 + 5v)(5 + -7v) = 0Subproblem 1
Set the factor '(-8 + 5v)' equal to zero and attempt to solve: Simplifying -8 + 5v = 0 Solving -8 + 5v = 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 + 5v = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 5v = 0 + 8 5v = 0 + 8 Combine like terms: 0 + 8 = 8 5v = 8 Divide each side by '5'. v = 1.6 Simplifying v = 1.6Subproblem 2
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 = {1.6, 0.7142857143}
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