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Simplifying v2 = -36 + -13v Solving v2 = -36 + -13v Solving for variable 'v'. Reorder the terms: 36 + 13v + v2 = -36 + -13v + 36 + 13v Reorder the terms: 36 + 13v + v2 = -36 + 36 + -13v + 13v Combine like terms: -36 + 36 = 0 36 + 13v + v2 = 0 + -13v + 13v 36 + 13v + v2 = -13v + 13v Combine like terms: -13v + 13v = 0 36 + 13v + v2 = 0 Factor a trinomial. (9 + v)(4 + v) = 0Subproblem 1
Set the factor '(9 + v)' equal to zero and attempt to solve: Simplifying 9 + v = 0 Solving 9 + v = 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 + v = 0 + -9 Combine like terms: 9 + -9 = 0 0 + v = 0 + -9 v = 0 + -9 Combine like terms: 0 + -9 = -9 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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