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Simplifying L2 + -2L = 80 Reorder the terms: -2L + L2 = 80 Solving -2L + L2 = 80 Solving for variable 'L'. Reorder the terms: -80 + -2L + L2 = 80 + -80 Combine like terms: 80 + -80 = 0 -80 + -2L + L2 = 0 Factor a trinomial. (-8 + -1L)(10 + -1L) = 0Subproblem 1
Set the factor '(-8 + -1L)' equal to zero and attempt to solve: Simplifying -8 + -1L = 0 Solving -8 + -1L = 0 Move all terms containing L to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1L = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1L = 0 + 8 -1L = 0 + 8 Combine like terms: 0 + 8 = 8 -1L = 8 Divide each side by '-1'. L = -8 Simplifying L = -8Subproblem 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 = {-8, 10}
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