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Simplifying (28 + 2x)(16 + 2X) = 1120 Multiply (28 + 2x) * (16 + 2X) (28(16 + 2X) + 2x * (16 + 2X)) = 1120 ((16 * 28 + 2X * 28) + 2x * (16 + 2X)) = 1120 ((448 + 56X) + 2x * (16 + 2X)) = 1120 (448 + 56X + (16 * 2x + 2X * 2x)) = 1120 (448 + 56X + (32x + 4xX)) = 1120 (448 + 56X + 32x + 4xX) = 1120 Solving 448 + 56X + 32x + 4xX = 1120 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-448' to each side of the equation. 448 + 56X + 32x + -448 + 4xX = 1120 + -448 Reorder the terms: 448 + -448 + 56X + 32x + 4xX = 1120 + -448 Combine like terms: 448 + -448 = 0 0 + 56X + 32x + 4xX = 1120 + -448 56X + 32x + 4xX = 1120 + -448 Combine like terms: 1120 + -448 = 672 56X + 32x + 4xX = 672 Add '-32x' to each side of the equation. 56X + 32x + -32x + 4xX = 672 + -32x Combine like terms: 32x + -32x = 0 56X + 0 + 4xX = 672 + -32x 56X + 4xX = 672 + -32x Reorder the terms: -672 + 56X + 32x + 4xX = 672 + -32x + -672 + 32x Reorder the terms: -672 + 56X + 32x + 4xX = 672 + -672 + -32x + 32x Combine like terms: 672 + -672 = 0 -672 + 56X + 32x + 4xX = 0 + -32x + 32x -672 + 56X + 32x + 4xX = -32x + 32x Combine like terms: -32x + 32x = 0 -672 + 56X + 32x + 4xX = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-168 + 14X + 8x + xX) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-168 + 14X + 8x + xX)' equal to zero and attempt to solve: Simplifying -168 + 14X + 8x + xX = 0 Solving -168 + 14X + 8x + xX = 0 Move all terms containing X to the left, all other terms to the right. Add '168' to each side of the equation. -168 + 14X + 8x + 168 + xX = 0 + 168 Reorder the terms: -168 + 168 + 14X + 8x + xX = 0 + 168 Combine like terms: -168 + 168 = 0 0 + 14X + 8x + xX = 0 + 168 14X + 8x + xX = 0 + 168 Combine like terms: 0 + 168 = 168 14X + 8x + xX = 168 Add '-8x' to each side of the equation. 14X + 8x + -8x + xX = 168 + -8x Combine like terms: 8x + -8x = 0 14X + 0 + xX = 168 + -8x 14X + xX = 168 + -8x 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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