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Simplifying 4v2 + -3v + -115 = 0 Reorder the terms: -115 + -3v + 4v2 = 0 Solving -115 + -3v + 4v2 = 0 Solving for variable 'v'. Factor a trinomial. (-5 + -1v)(23 + -4v) = 0Subproblem 1
Set the factor '(-5 + -1v)' equal to zero and attempt to solve: Simplifying -5 + -1v = 0 Solving -5 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1v = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1v = 0 + 5 -1v = 0 + 5 Combine like terms: 0 + 5 = 5 -1v = 5 Divide each side by '-1'. v = -5 Simplifying v = -5Subproblem 2
Set the factor '(23 + -4v)' equal to zero and attempt to solve: Simplifying 23 + -4v = 0 Solving 23 + -4v = 0 Move all terms containing v to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -4v = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -4v = 0 + -23 -4v = 0 + -23 Combine like terms: 0 + -23 = -23 -4v = -23 Divide each side by '-4'. v = 5.75 Simplifying v = 5.75Solution
v = {-5, 5.75}
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