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Simplifying 45 = v(v + -4) Reorder the terms: 45 = v(-4 + v) 45 = (-4 * v + v * v) 45 = (-4v + v2) Solving 45 = -4v + v2 Solving for variable 'v'. Reorder the terms: 45 + 4v + -1v2 = -4v + 4v + v2 + -1v2 Combine like terms: -4v + 4v = 0 45 + 4v + -1v2 = 0 + v2 + -1v2 45 + 4v + -1v2 = v2 + -1v2 Combine like terms: v2 + -1v2 = 0 45 + 4v + -1v2 = 0 Factor a trinomial. (9 + -1v)(5 + 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 '(5 + v)' equal to zero and attempt to solve: Simplifying 5 + v = 0 Solving 5 + v = 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 + v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + v = 0 + -5 v = 0 + -5 Combine like terms: 0 + -5 = -5 v = -5 Simplifying v = -5Solution
v = {9, -5}
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