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Simplifying v(v + 1) = 272 Reorder the terms: v(1 + v) = 272 (1 * v + v * v) = 272 (1v + v2) = 272 Solving 1v + v2 = 272 Solving for variable 'v'. Reorder the terms: -272 + 1v + v2 = 272 + -272 Combine like terms: 272 + -272 = 0 -272 + 1v + v2 = 0 Factor a trinomial. (-17 + -1v)(16 + -1v) = 0Subproblem 1
Set the factor '(-17 + -1v)' equal to zero and attempt to solve: Simplifying -17 + -1v = 0 Solving -17 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -1v = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -1v = 0 + 17 -1v = 0 + 17 Combine like terms: 0 + 17 = 17 -1v = 17 Divide each side by '-1'. v = -17 Simplifying v = -17Subproblem 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 = {-17, 16}
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