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Simplifying lx + -4l + -5lx + -4l + 6 = 0 Reorder the terms: 6 + -4l + -4l + lx + -5lx = 0 Combine like terms: -4l + -4l = -8l 6 + -8l + lx + -5lx = 0 Combine like terms: lx + -5lx = -4lx 6 + -8l + -4lx = 0 Solving 6 + -8l + -4lx = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -8l + -6 + -4lx = 0 + -6 Reorder the terms: 6 + -6 + -8l + -4lx = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -8l + -4lx = 0 + -6 -8l + -4lx = 0 + -6 Combine like terms: 0 + -6 = -6 -8l + -4lx = -6 Reorder the terms: 6 + -8l + -4lx = -6 + 6 Combine like terms: -6 + 6 = 0 6 + -8l + -4lx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(3 + -4l + -2lx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3 + -4l + -2lx)' equal to zero and attempt to solve: Simplifying 3 + -4l + -2lx = 0 Solving 3 + -4l + -2lx = 0 Move all terms containing l to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -4l + -3 + -2lx = 0 + -3 Reorder the terms: 3 + -3 + -4l + -2lx = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4l + -2lx = 0 + -3 -4l + -2lx = 0 + -3 Combine like terms: 0 + -3 = -3 -4l + -2lx = -3 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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