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Simplifying (36 + 2w)(15 + 2W) = 910 Multiply (36 + 2w) * (15 + 2W) (36(15 + 2W) + 2w * (15 + 2W)) = 910 ((15 * 36 + 2W * 36) + 2w * (15 + 2W)) = 910 ((540 + 72W) + 2w * (15 + 2W)) = 910 (540 + 72W + (15 * 2w + 2W * 2w)) = 910 (540 + 72W + (30w + 4wW)) = 910 (540 + 72W + 30w + 4wW) = 910 Solving 540 + 72W + 30w + 4wW = 910 Solving for variable 'W'. Move all terms containing W to the left, all other terms to the right. Add '-540' to each side of the equation. 540 + 72W + 30w + -540 + 4wW = 910 + -540 Reorder the terms: 540 + -540 + 72W + 30w + 4wW = 910 + -540 Combine like terms: 540 + -540 = 0 0 + 72W + 30w + 4wW = 910 + -540 72W + 30w + 4wW = 910 + -540 Combine like terms: 910 + -540 = 370 72W + 30w + 4wW = 370 Add '-30w' to each side of the equation. 72W + 30w + -30w + 4wW = 370 + -30w Combine like terms: 30w + -30w = 0 72W + 0 + 4wW = 370 + -30w 72W + 4wW = 370 + -30w Reorder the terms: -370 + 72W + 30w + 4wW = 370 + -30w + -370 + 30w Reorder the terms: -370 + 72W + 30w + 4wW = 370 + -370 + -30w + 30w Combine like terms: 370 + -370 = 0 -370 + 72W + 30w + 4wW = 0 + -30w + 30w -370 + 72W + 30w + 4wW = -30w + 30w Combine like terms: -30w + 30w = 0 -370 + 72W + 30w + 4wW = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-185 + 36W + 15w + 2wW) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-185 + 36W + 15w + 2wW)' equal to zero and attempt to solve: Simplifying -185 + 36W + 15w + 2wW = 0 Solving -185 + 36W + 15w + 2wW = 0 Move all terms containing W to the left, all other terms to the right. Add '185' to each side of the equation. -185 + 36W + 15w + 185 + 2wW = 0 + 185 Reorder the terms: -185 + 185 + 36W + 15w + 2wW = 0 + 185 Combine like terms: -185 + 185 = 0 0 + 36W + 15w + 2wW = 0 + 185 36W + 15w + 2wW = 0 + 185 Combine like terms: 0 + 185 = 185 36W + 15w + 2wW = 185 Add '-15w' to each side of the equation. 36W + 15w + -15w + 2wW = 185 + -15w Combine like terms: 15w + -15w = 0 36W + 0 + 2wW = 185 + -15w 36W + 2wW = 185 + -15w 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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