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Simplifying 24 = v(v + -5) Reorder the terms: 24 = v(-5 + v) 24 = (-5 * v + v * v) 24 = (-5v + v2) Solving 24 = -5v + v2 Solving for variable 'v'. Reorder the terms: 24 + 5v + -1v2 = -5v + 5v + v2 + -1v2 Combine like terms: -5v + 5v = 0 24 + 5v + -1v2 = 0 + v2 + -1v2 24 + 5v + -1v2 = v2 + -1v2 Combine like terms: v2 + -1v2 = 0 24 + 5v + -1v2 = 0 Factor a trinomial. (8 + -1v)(3 + v) = 0Subproblem 1
Set the factor '(8 + -1v)' equal to zero and attempt to solve: Simplifying 8 + -1v = 0 Solving 8 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1v = 0 + -8 -1v = 0 + -8 Combine like terms: 0 + -8 = -8 -1v = -8 Divide each side by '-1'. v = 8 Simplifying v = 8Subproblem 2
Set the factor '(3 + v)' equal to zero and attempt to solve: Simplifying 3 + v = 0 Solving 3 + v = 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 + v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + v = 0 + -3 v = 0 + -3 Combine like terms: 0 + -3 = -3 v = -3 Simplifying v = -3Solution
v = {8, -3}
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