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Simplifying (8 + v)(4v + -9) = 0 Reorder the terms: (8 + v)(-9 + 4v) = 0 Multiply (8 + v) * (-9 + 4v) (8(-9 + 4v) + v(-9 + 4v)) = 0 ((-9 * 8 + 4v * 8) + v(-9 + 4v)) = 0 ((-72 + 32v) + v(-9 + 4v)) = 0 (-72 + 32v + (-9 * v + 4v * v)) = 0 (-72 + 32v + (-9v + 4v2)) = 0 Combine like terms: 32v + -9v = 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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