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Simplifying (2v + -9)(8 + -1v) = 0 Reorder the terms: (-9 + 2v)(8 + -1v) = 0 Multiply (-9 + 2v) * (8 + -1v) (-9(8 + -1v) + 2v * (8 + -1v)) = 0 ((8 * -9 + -1v * -9) + 2v * (8 + -1v)) = 0 ((-72 + 9v) + 2v * (8 + -1v)) = 0 (-72 + 9v + (8 * 2v + -1v * 2v)) = 0 (-72 + 9v + (16v + -2v2)) = 0 Combine like terms: 9v + 16v = 25v (-72 + 25v + -2v2) = 0 Solving -72 + 25v + -2v2 = 0 Solving for variable 'v'. Factor a trinomial. (-8 + v)(9 + -2v) = 0Subproblem 1
Set the factor '(-8 + v)' equal to zero and attempt to solve: Simplifying -8 + v = 0 Solving -8 + v = 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 + v = 0 + 8 Combine like terms: -8 + 8 = 0 0 + v = 0 + 8 v = 0 + 8 Combine like terms: 0 + 8 = 8 v = 8 Simplifying v = 8Subproblem 2
Set the factor '(9 + -2v)' equal to zero and attempt to solve: Simplifying 9 + -2v = 0 Solving 9 + -2v = 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 + -2v = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2v = 0 + -9 -2v = 0 + -9 Combine like terms: 0 + -9 = -9 -2v = -9 Divide each side by '-2'. v = 4.5 Simplifying v = 4.5Solution
v = {8, 4.5}
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