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Simplifying 2lx(x + 1) = -2 Reorder the terms: 2lx(1 + x) = -2 (1 * 2lx + x * 2lx) = -2 (2lx + 2lx2) = -2 Solving 2lx + 2lx2 = -2 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: 2 + 2lx + 2lx2 = -2 + 2 Combine like terms: -2 + 2 = 0 2 + 2lx + 2lx2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(1 + lx + lx2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1 + lx + lx2)' equal to zero and attempt to solve: Simplifying 1 + lx + lx2 = 0 Solving 1 + lx + lx2 = 0 Move all terms containing l to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + lx + -1 + lx2 = 0 + -1 Reorder the terms: 1 + -1 + lx + lx2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + lx + lx2 = 0 + -1 lx + lx2 = 0 + -1 Combine like terms: 0 + -1 = -1 lx + lx2 = -1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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