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Simplifying v2 + 2v + -288 = 0 Reorder the terms: -288 + 2v + v2 = 0 Solving -288 + 2v + v2 = 0 Solving for variable 'v'. Factor a trinomial. (-18 + -1v)(16 + -1v) = 0Subproblem 1
Set the factor '(-18 + -1v)' equal to zero and attempt to solve: Simplifying -18 + -1v = 0 Solving -18 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -1v = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -1v = 0 + 18 -1v = 0 + 18 Combine like terms: 0 + 18 = 18 -1v = 18 Divide each side by '-1'. v = -18 Simplifying v = -18Subproblem 2
Set the factor '(16 + -1v)' equal to zero and attempt to solve: Simplifying 16 + -1v = 0 Solving 16 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1v = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1v = 0 + -16 -1v = 0 + -16 Combine like terms: 0 + -16 = -16 -1v = -16 Divide each side by '-1'. v = 16 Simplifying v = 16Solution
v = {-18, 16}
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