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Simplifying 2l2 = 22l + 120 Reorder the terms: 2l2 = 120 + 22l Solving 2l2 = 120 + 22l Solving for variable 'l'. Reorder the terms: -120 + -22l + 2l2 = 120 + 22l + -120 + -22l Reorder the terms: -120 + -22l + 2l2 = 120 + -120 + 22l + -22l Combine like terms: 120 + -120 = 0 -120 + -22l + 2l2 = 0 + 22l + -22l -120 + -22l + 2l2 = 22l + -22l Combine like terms: 22l + -22l = 0 -120 + -22l + 2l2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-60 + -11l + l2) = 0 Factor a trinomial. 2((-4 + -1l)(15 + -1l)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4 + -1l)' equal to zero and attempt to solve: Simplifying -4 + -1l = 0 Solving -4 + -1l = 0 Move all terms containing l to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1l = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1l = 0 + 4 -1l = 0 + 4 Combine like terms: 0 + 4 = 4 -1l = 4 Divide each side by '-1'. l = -4 Simplifying l = -4Subproblem 2
Set the factor '(15 + -1l)' equal to zero and attempt to solve: Simplifying 15 + -1l = 0 Solving 15 + -1l = 0 Move all terms containing l to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1l = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1l = 0 + -15 -1l = 0 + -15 Combine like terms: 0 + -15 = -15 -1l = -15 Divide each side by '-1'. l = 15 Simplifying l = 15Solution
l = {-4, 15}
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