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Simplifying l2 + -30l + 225 = 0 Reorder the terms: 225 + -30l + l2 = 0 Solving 225 + -30l + l2 = 0 Solving for variable 'l'. Factor a trinomial. (15 + -1l)(15 + -1l) = 0Subproblem 1
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 = 15Subproblem 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 = {15, 15}
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