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Simplifying (2v + -9)(1 + v) = 0 Reorder the terms: (-9 + 2v)(1 + v) = 0 Multiply (-9 + 2v) * (1 + v) (-9(1 + v) + 2v * (1 + v)) = 0 ((1 * -9 + v * -9) + 2v * (1 + v)) = 0 ((-9 + -9v) + 2v * (1 + v)) = 0 (-9 + -9v + (1 * 2v + v * 2v)) = 0 (-9 + -9v + (2v + 2v2)) = 0 Combine like terms: -9v + 2v = -7v (-9 + -7v + 2v2) = 0 Solving -9 + -7v + 2v2 = 0 Solving for variable 'v'. Factor a trinomial. (-1 + -1v)(9 + -2v) = 0Subproblem 1
Set the factor '(-1 + -1v)' equal to zero and attempt to solve: Simplifying -1 + -1v = 0 Solving -1 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1v = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1v = 0 + 1 -1v = 0 + 1 Combine like terms: 0 + 1 = 1 -1v = 1 Divide each side by '-1'. v = -1 Simplifying v = -1Subproblem 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 = {-1, 4.5}
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