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Simplifying (v + 2)(9v + -8) = 0 Reorder the terms: (2 + v)(9v + -8) = 0 Reorder the terms: (2 + v)(-8 + 9v) = 0 Multiply (2 + v) * (-8 + 9v) (2(-8 + 9v) + v(-8 + 9v)) = 0 ((-8 * 2 + 9v * 2) + v(-8 + 9v)) = 0 ((-16 + 18v) + v(-8 + 9v)) = 0 (-16 + 18v + (-8 * v + 9v * v)) = 0 (-16 + 18v + (-8v + 9v2)) = 0 Combine like terms: 18v + -8v = 10v (-16 + 10v + 9v2) = 0 Solving -16 + 10v + 9v2 = 0 Solving for variable 'v'. Factor a trinomial. (-2 + -1v)(8 + -9v) = 0Subproblem 1
Set the factor '(-2 + -1v)' equal to zero and attempt to solve: Simplifying -2 + -1v = 0 Solving -2 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1v = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1v = 0 + 2 -1v = 0 + 2 Combine like terms: 0 + 2 = 2 -1v = 2 Divide each side by '-1'. v = -2 Simplifying v = -2Subproblem 2
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 = 0.8888888889Solution
v = {-2, 0.8888888889}
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