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Simplifying lx + -5l = l + -9l Reorder the terms: -5l + lx = l + -9l Combine like terms: l + -9l = -8l -5l + lx = -8l Solving -5l + lx = -8l Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '8l' to each side of the equation. -5l + 8l + lx = -8l + 8l Combine like terms: -5l + 8l = 3l 3l + lx = -8l + 8l Combine like terms: -8l + 8l = 0 3l + lx = 0 Factor out the Greatest Common Factor (GCF), 'l'. l(3 + x) = 0Subproblem 1
Set the factor 'l' equal to zero and attempt to solve: Simplifying l = 0 Solving l = 0 Move all terms containing l to the left, all other terms to the right. Simplifying l = 0Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Add '-1x' to each side of the equation. x + -1x = -3 + -1x Combine like terms: x + -1x = 0 0 = -3 + -1x Simplifying 0 = -3 + -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
l = {0}
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