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Simplifying (70 + -1l) * l = 1200 Reorder the terms for easier multiplication: l(70 + -1l) = 1200 (70 * l + -1l * l) = 1200 (70l + -1l2) = 1200 Solving 70l + -1l2 = 1200 Solving for variable 'l'. Reorder the terms: -1200 + 70l + -1l2 = 1200 + -1200 Combine like terms: 1200 + -1200 = 0 -1200 + 70l + -1l2 = 0 Factor a trinomial. (-40 + l)(30 + -1l) = 0Subproblem 1
Set the factor '(-40 + l)' equal to zero and attempt to solve: Simplifying -40 + l = 0 Solving -40 + l = 0 Move all terms containing l to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + l = 0 + 40 Combine like terms: -40 + 40 = 0 0 + l = 0 + 40 l = 0 + 40 Combine like terms: 0 + 40 = 40 l = 40 Simplifying l = 40Subproblem 2
Set the factor '(30 + -1l)' equal to zero and attempt to solve: Simplifying 30 + -1l = 0 Solving 30 + -1l = 0 Move all terms containing l to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -1l = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -1l = 0 + -30 -1l = 0 + -30 Combine like terms: 0 + -30 = -30 -1l = -30 Divide each side by '-1'. l = 30 Simplifying l = 30Solution
l = {40, 30}
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