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Simplifying (2w + 6)(2l + 8) = 0 Reorder the terms: (6 + 2w)(2l + 8) = 0 Reorder the terms: (6 + 2w)(8 + 2l) = 0 Multiply (6 + 2w) * (8 + 2l) (6(8 + 2l) + 2w * (8 + 2l)) = 0 ((8 * 6 + 2l * 6) + 2w * (8 + 2l)) = 0 ((48 + 12l) + 2w * (8 + 2l)) = 0 (48 + 12l + (8 * 2w + 2l * 2w)) = 0 Reorder the terms: (48 + 12l + (4lw + 16w)) = 0 (48 + 12l + (4lw + 16w)) = 0 (48 + 12l + 4lw + 16w) = 0 Solving 48 + 12l + 4lw + 16w = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + 12l + 4lw + -48 + 16w = 0 + -48 Reorder the terms: 48 + -48 + 12l + 4lw + 16w = 0 + -48 Combine like terms: 48 + -48 = 0 0 + 12l + 4lw + 16w = 0 + -48 12l + 4lw + 16w = 0 + -48 Combine like terms: 0 + -48 = -48 12l + 4lw + 16w = -48 Add '-16w' to each side of the equation. 12l + 4lw + 16w + -16w = -48 + -16w Combine like terms: 16w + -16w = 0 12l + 4lw + 0 = -48 + -16w 12l + 4lw = -48 + -16w Reorder the terms: 48 + 12l + 4lw + 16w = -48 + -16w + 48 + 16w Reorder the terms: 48 + 12l + 4lw + 16w = -48 + 48 + -16w + 16w Combine like terms: -48 + 48 = 0 48 + 12l + 4lw + 16w = 0 + -16w + 16w 48 + 12l + 4lw + 16w = -16w + 16w Combine like terms: -16w + 16w = 0 48 + 12l + 4lw + 16w = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(12 + 3l + lw + 4w) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(12 + 3l + lw + 4w)' equal to zero and attempt to solve: Simplifying 12 + 3l + lw + 4w = 0 Solving 12 + 3l + lw + 4w = 0 Move all terms containing l to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 3l + lw + -12 + 4w = 0 + -12 Reorder the terms: 12 + -12 + 3l + lw + 4w = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 3l + lw + 4w = 0 + -12 3l + lw + 4w = 0 + -12 Combine like terms: 0 + -12 = -12 3l + lw + 4w = -12 Add '-4w' to each side of the equation. 3l + lw + 4w + -4w = -12 + -4w Combine like terms: 4w + -4w = 0 3l + lw + 0 = -12 + -4w 3l + lw = -12 + -4w 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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