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Simplifying (4v + -9)(8 + v) = 0 Reorder the terms: (-9 + 4v)(8 + v) = 0 Multiply (-9 + 4v) * (8 + v) (-9(8 + v) + 4v * (8 + v)) = 0 ((8 * -9 + v * -9) + 4v * (8 + v)) = 0 ((-72 + -9v) + 4v * (8 + v)) = 0 (-72 + -9v + (8 * 4v + v * 4v)) = 0 (-72 + -9v + (32v + 4v2)) = 0 Combine like terms: -9v + 32v = 23v (-72 + 23v + 4v2) = 0 Solving -72 + 23v + 4v2 = 0 Solving for variable 'v'. Factor a trinomial. (-8 + -1v)(9 + -4v) = 0Subproblem 1
Set the factor '(-8 + -1v)' equal to zero and attempt to solve: Simplifying -8 + -1v = 0 Solving -8 + -1v = 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 + -1v = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1v = 0 + 8 -1v = 0 + 8 Combine like terms: 0 + 8 = 8 -1v = 8 Divide each side by '-1'. v = -8 Simplifying v = -8Subproblem 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 = {-8, 2.25}
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