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Simplifying 36v2 + -32v + 27v + -24 = 0 Reorder the terms: -24 + -32v + 27v + 36v2 = 0 Combine like terms: -32v + 27v = -5v -24 + -5v + 36v2 = 0 Solving -24 + -5v + 36v2 = 0 Solving for variable 'v'. Factor a trinomial. (-3 + -4v)(8 + -9v) = 0Subproblem 1
Set the factor '(-3 + -4v)' equal to zero and attempt to solve: Simplifying -3 + -4v = 0 Solving -3 + -4v = 0 Move all terms containing v to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -4v = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4v = 0 + 3 -4v = 0 + 3 Combine like terms: 0 + 3 = 3 -4v = 3 Divide each side by '-4'. v = -0.75 Simplifying v = -0.75Subproblem 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 = {-0.75, 0.8888888889}
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