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Simplifying 4l2 + -2l + -90 = 0 Reorder the terms: -90 + -2l + 4l2 = 0 Solving -90 + -2l + 4l2 = 0 Solving for variable 'l'. Factor out the Greatest Common Factor (GCF), '2'. 2(-45 + -1l + 2l2) = 0 Factor a trinomial. 2((-9 + -2l)(5 + -1l)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-9 + -2l)' equal to zero and attempt to solve: Simplifying -9 + -2l = 0 Solving -9 + -2l = 0 Move all terms containing l to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -2l = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -2l = 0 + 9 -2l = 0 + 9 Combine like terms: 0 + 9 = 9 -2l = 9 Divide each side by '-2'. l = -4.5 Simplifying l = -4.5Subproblem 2
Set the factor '(5 + -1l)' equal to zero and attempt to solve: Simplifying 5 + -1l = 0 Solving 5 + -1l = 0 Move all terms containing l to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1l = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1l = 0 + -5 -1l = 0 + -5 Combine like terms: 0 + -5 = -5 -1l = -5 Divide each side by '-1'. l = 5 Simplifying l = 5Solution
l = {-4.5, 5}
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