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Simplifying 2l2 + -12l = 80 Reorder the terms: -12l + 2l2 = 80 Solving -12l + 2l2 = 80 Solving for variable 'l'. Reorder the terms: -80 + -12l + 2l2 = 80 + -80 Combine like terms: 80 + -80 = 0 -80 + -12l + 2l2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-40 + -6l + l2) = 0 Factor a trinomial. 2((-4 + -1l)(10 + -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 '(10 + -1l)' equal to zero and attempt to solve: Simplifying 10 + -1l = 0 Solving 10 + -1l = 0 Move all terms containing l to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1l = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1l = 0 + -10 -1l = 0 + -10 Combine like terms: 0 + -10 = -10 -1l = -10 Divide each side by '-1'. l = 10 Simplifying l = 10Solution
l = {-4, 10}
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