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Simplifying -10v2 + 27v + 81 = 0 Reorder the terms: 81 + 27v + -10v2 = 0 Solving 81 + 27v + -10v2 = 0 Solving for variable 'v'. Factor a trinomial. (9 + -2v)(9 + 5v) = 0Subproblem 1
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 = 4.5Subproblem 2
Set the factor '(9 + 5v)' equal to zero and attempt to solve: Simplifying 9 + 5v = 0 Solving 9 + 5v = 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 + 5v = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5v = 0 + -9 5v = 0 + -9 Combine like terms: 0 + -9 = -9 5v = -9 Divide each side by '5'. v = -1.8 Simplifying v = -1.8Solution
v = {4.5, -1.8}
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