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Simplifying v2 + 14v + -87 = 8 Reorder the terms: -87 + 14v + v2 = 8 Solving -87 + 14v + v2 = 8 Solving for variable 'v'. Reorder the terms: -87 + -8 + 14v + v2 = 8 + -8 Combine like terms: -87 + -8 = -95 -95 + 14v + v2 = 8 + -8 Combine like terms: 8 + -8 = 0 -95 + 14v + v2 = 0 Factor a trinomial. (-19 + -1v)(5 + -1v) = 0Subproblem 1
Set the factor '(-19 + -1v)' equal to zero and attempt to solve: Simplifying -19 + -1v = 0 Solving -19 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -1v = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -1v = 0 + 19 -1v = 0 + 19 Combine like terms: 0 + 19 = 19 -1v = 19 Divide each side by '-1'. v = -19 Simplifying v = -19Subproblem 2
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 = 5Solution
v = {-19, 5}
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