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Simplifying 5v2 + 11v + -12 = 0 Reorder the terms: -12 + 11v + 5v2 = 0 Solving -12 + 11v + 5v2 = 0 Solving for variable 'v'. Factor a trinomial. (-3 + -1v)(4 + -5v) = 0Subproblem 1
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 = -3Subproblem 2
Set the factor '(4 + -5v)' equal to zero and attempt to solve: Simplifying 4 + -5v = 0 Solving 4 + -5v = 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 + -5v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5v = 0 + -4 -5v = 0 + -4 Combine like terms: 0 + -4 = -4 -5v = -4 Divide each side by '-5'. v = 0.8 Simplifying v = 0.8Solution
v = {-3, 0.8}
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