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Simplifying 36 = v(v + -5) Reorder the terms: 36 = v(-5 + v) 36 = (-5 * v + v * v) 36 = (-5v + v2) Solving 36 = -5v + v2 Solving for variable 'v'. Reorder the terms: 36 + 5v + -1v2 = -5v + 5v + v2 + -1v2 Combine like terms: -5v + 5v = 0 36 + 5v + -1v2 = 0 + v2 + -1v2 36 + 5v + -1v2 = v2 + -1v2 Combine like terms: v2 + -1v2 = 0 36 + 5v + -1v2 = 0 Factor a trinomial. (9 + -1v)(4 + v) = 0Subproblem 1
Set the factor '(9 + -1v)' equal to zero and attempt to solve: Simplifying 9 + -1v = 0 Solving 9 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1v = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1v = 0 + -9 -1v = 0 + -9 Combine like terms: 0 + -9 = -9 -1v = -9 Divide each side by '-1'. v = 9 Simplifying v = 9Subproblem 2
Set the factor '(4 + v)' equal to zero and attempt to solve: Simplifying 4 + v = 0 Solving 4 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + v = 0 + -4 v = 0 + -4 Combine like terms: 0 + -4 = -4 v = -4 Simplifying v = -4Solution
v = {9, -4}
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