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Simplifying (4W + 6)(4 + w) = 0 Reorder the terms: (6 + 4W)(4 + w) = 0 Multiply (6 + 4W) * (4 + w) (6(4 + w) + 4W * (4 + w)) = 0 ((4 * 6 + w * 6) + 4W * (4 + w)) = 0 ((24 + 6w) + 4W * (4 + w)) = 0 (24 + 6w + (4 * 4W + w * 4W)) = 0 (24 + 6w + (16W + 4wW)) = 0 Reorder the terms: (24 + 16W + 6w + 4wW) = 0 (24 + 16W + 6w + 4wW) = 0 Solving 24 + 16W + 6w + 4wW = 0 Solving for variable 'W'. Move all terms containing W to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + 16W + 6w + -24 + 4wW = 0 + -24 Reorder the terms: 24 + -24 + 16W + 6w + 4wW = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 16W + 6w + 4wW = 0 + -24 16W + 6w + 4wW = 0 + -24 Combine like terms: 0 + -24 = -24 16W + 6w + 4wW = -24 Add '-6w' to each side of the equation. 16W + 6w + -6w + 4wW = -24 + -6w Combine like terms: 6w + -6w = 0 16W + 0 + 4wW = -24 + -6w 16W + 4wW = -24 + -6w Reorder the terms: 24 + 16W + 6w + 4wW = -24 + -6w + 24 + 6w Reorder the terms: 24 + 16W + 6w + 4wW = -24 + 24 + -6w + 6w Combine like terms: -24 + 24 = 0 24 + 16W + 6w + 4wW = 0 + -6w + 6w 24 + 16W + 6w + 4wW = -6w + 6w Combine like terms: -6w + 6w = 0 24 + 16W + 6w + 4wW = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(12 + 8W + 3w + 2wW) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(12 + 8W + 3w + 2wW)' equal to zero and attempt to solve: Simplifying 12 + 8W + 3w + 2wW = 0 Solving 12 + 8W + 3w + 2wW = 0 Move all terms containing W to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 8W + 3w + -12 + 2wW = 0 + -12 Reorder the terms: 12 + -12 + 8W + 3w + 2wW = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 8W + 3w + 2wW = 0 + -12 8W + 3w + 2wW = 0 + -12 Combine like terms: 0 + -12 = -12 8W + 3w + 2wW = -12 Add '-3w' to each side of the equation. 8W + 3w + -3w + 2wW = -12 + -3w Combine like terms: 3w + -3w = 0 8W + 0 + 2wW = -12 + -3w 8W + 2wW = -12 + -3w 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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