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Simplifying 5v2 + -81 = -12v Reorder the terms: -81 + 5v2 = -12v Solving -81 + 5v2 = -12v Solving for variable 'v'. Reorder the terms: -81 + 12v + 5v2 = -12v + 12v Combine like terms: -12v + 12v = 0 -81 + 12v + 5v2 = 0 Factor a trinomial. (-27 + -5v)(3 + -1v) = 0Subproblem 1
Set the factor '(-27 + -5v)' equal to zero and attempt to solve: Simplifying -27 + -5v = 0 Solving -27 + -5v = 0 Move all terms containing v to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + -5v = 0 + 27 Combine like terms: -27 + 27 = 0 0 + -5v = 0 + 27 -5v = 0 + 27 Combine like terms: 0 + 27 = 27 -5v = 27 Divide each side by '-5'. v = -5.4 Simplifying v = -5.4Subproblem 2
Set the factor '(3 + -1v)' equal to zero and attempt to solve: Simplifying 3 + -1v = 0 Solving 3 + -1v = 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 + -1v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1v = 0 + -3 -1v = 0 + -3 Combine like terms: 0 + -3 = -3 -1v = -3 Divide each side by '-1'. v = 3 Simplifying v = 3Solution
v = {-5.4, 3}
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