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Simplifying (4v + -9)(9v + -8) = 0 Reorder the terms: (-9 + 4v)(9v + -8) = 0 Reorder the terms: (-9 + 4v)(-8 + 9v) = 0 Multiply (-9 + 4v) * (-8 + 9v) (-9(-8 + 9v) + 4v * (-8 + 9v)) = 0 ((-8 * -9 + 9v * -9) + 4v * (-8 + 9v)) = 0 ((72 + -81v) + 4v * (-8 + 9v)) = 0 (72 + -81v + (-8 * 4v + 9v * 4v)) = 0 (72 + -81v + (-32v + 36v2)) = 0 Combine like terms: -81v + -32v = -113v (72 + -113v + 36v2) = 0 Solving 72 + -113v + 36v2 = 0 Solving for variable 'v'. Factor a trinomial. (8 + -9v)(9 + -4v) = 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 '(9 + -4v)' equal to zero and attempt to solve: Simplifying 9 + -4v = 0 Solving 9 + -4v = 0 Move all terms containing v to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -4v = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4v = 0 + -9 -4v = 0 + -9 Combine like terms: 0 + -9 = -9 -4v = -9 Divide each side by '-4'. v = 2.25 Simplifying v = 2.25Solution
v = {0.8888888889, 2.25}
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