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Simplifying (8 + -2l)(4 + -2L) = 12 Multiply (8 + -2l) * (4 + -2L) (8(4 + -2L) + -2l * (4 + -2L)) = 12 ((4 * 8 + -2L * 8) + -2l * (4 + -2L)) = 12 ((32 + -16L) + -2l * (4 + -2L)) = 12 (32 + -16L + (4 * -2l + -2L * -2l)) = 12 (32 + -16L + (-8l + 4lL)) = 12 (32 + -16L + -8l + 4lL) = 12 Solving 32 + -16L + -8l + 4lL = 12 Solving for variable 'L'. Move all terms containing L to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -16L + -8l + -32 + 4lL = 12 + -32 Reorder the terms: 32 + -32 + -16L + -8l + 4lL = 12 + -32 Combine like terms: 32 + -32 = 0 0 + -16L + -8l + 4lL = 12 + -32 -16L + -8l + 4lL = 12 + -32 Combine like terms: 12 + -32 = -20 -16L + -8l + 4lL = -20 Add '8l' to each side of the equation. -16L + -8l + 8l + 4lL = -20 + 8l Combine like terms: -8l + 8l = 0 -16L + 0 + 4lL = -20 + 8l -16L + 4lL = -20 + 8l Reorder the terms: 20 + -16L + -8l + 4lL = -20 + 8l + 20 + -8l Reorder the terms: 20 + -16L + -8l + 4lL = -20 + 20 + 8l + -8l Combine like terms: -20 + 20 = 0 20 + -16L + -8l + 4lL = 0 + 8l + -8l 20 + -16L + -8l + 4lL = 8l + -8l Combine like terms: 8l + -8l = 0 20 + -16L + -8l + 4lL = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(5 + -4L + -2l + lL) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(5 + -4L + -2l + lL)' equal to zero and attempt to solve: Simplifying 5 + -4L + -2l + lL = 0 Solving 5 + -4L + -2l + lL = 0 Move all terms containing L to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -4L + -2l + -5 + lL = 0 + -5 Reorder the terms: 5 + -5 + -4L + -2l + lL = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4L + -2l + lL = 0 + -5 -4L + -2l + lL = 0 + -5 Combine like terms: 0 + -5 = -5 -4L + -2l + lL = -5 Add '2l' to each side of the equation. -4L + -2l + 2l + lL = -5 + 2l Combine like terms: -2l + 2l = 0 -4L + 0 + lL = -5 + 2l -4L + lL = -5 + 2l 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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