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Simplifying 9v2 + 77v + -36 = 0 Reorder the terms: -36 + 77v + 9v2 = 0 Solving -36 + 77v + 9v2 = 0 Solving for variable 'v'. Factor a trinomial. (-9 + -1v)(4 + -9v) = 0Subproblem 1
Set the factor '(-9 + -1v)' equal to zero and attempt to solve: Simplifying -9 + -1v = 0 Solving -9 + -1v = 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 + -1v = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1v = 0 + 9 -1v = 0 + 9 Combine like terms: 0 + 9 = 9 -1v = 9 Divide each side by '-1'. v = -9 Simplifying v = -9Subproblem 2
Set the factor '(4 + -9v)' equal to zero and attempt to solve: Simplifying 4 + -9v = 0 Solving 4 + -9v = 0 Move all terms containing v to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -9v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -9v = 0 + -4 -9v = 0 + -4 Combine like terms: 0 + -4 = -4 -9v = -4 Divide each side by '-9'. v = 0.4444444444 Simplifying v = 0.4444444444Solution
v = {-9, 0.4444444444}
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