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Simplifying (X + 8)(2x + 8) = 640 Reorder the terms: (8 + X)(2x + 8) = 640 Reorder the terms: (8 + X)(8 + 2x) = 640 Multiply (8 + X) * (8 + 2x) (8(8 + 2x) + X(8 + 2x)) = 640 ((8 * 8 + 2x * 8) + X(8 + 2x)) = 640 ((64 + 16x) + X(8 + 2x)) = 640 (64 + 16x + (8 * X + 2x * X)) = 640 (64 + 16x + (8X + 2xX)) = 640 Reorder the terms: (64 + 8X + 16x + 2xX) = 640 (64 + 8X + 16x + 2xX) = 640 Solving 64 + 8X + 16x + 2xX = 640 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + 8X + 16x + -64 + 2xX = 640 + -64 Reorder the terms: 64 + -64 + 8X + 16x + 2xX = 640 + -64 Combine like terms: 64 + -64 = 0 0 + 8X + 16x + 2xX = 640 + -64 8X + 16x + 2xX = 640 + -64 Combine like terms: 640 + -64 = 576 8X + 16x + 2xX = 576 Add '-16x' to each side of the equation. 8X + 16x + -16x + 2xX = 576 + -16x Combine like terms: 16x + -16x = 0 8X + 0 + 2xX = 576 + -16x 8X + 2xX = 576 + -16x Reorder the terms: -576 + 8X + 16x + 2xX = 576 + -16x + -576 + 16x Reorder the terms: -576 + 8X + 16x + 2xX = 576 + -576 + -16x + 16x Combine like terms: 576 + -576 = 0 -576 + 8X + 16x + 2xX = 0 + -16x + 16x -576 + 8X + 16x + 2xX = -16x + 16x Combine like terms: -16x + 16x = 0 -576 + 8X + 16x + 2xX = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-288 + 4X + 8x + xX) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-288 + 4X + 8x + xX)' equal to zero and attempt to solve: Simplifying -288 + 4X + 8x + xX = 0 Solving -288 + 4X + 8x + xX = 0 Move all terms containing X to the left, all other terms to the right. Add '288' to each side of the equation. -288 + 4X + 8x + 288 + xX = 0 + 288 Reorder the terms: -288 + 288 + 4X + 8x + xX = 0 + 288 Combine like terms: -288 + 288 = 0 0 + 4X + 8x + xX = 0 + 288 4X + 8x + xX = 0 + 288 Combine like terms: 0 + 288 = 288 4X + 8x + xX = 288 Add '-8x' to each side of the equation. 4X + 8x + -8x + xX = 288 + -8x Combine like terms: 8x + -8x = 0 4X + 0 + xX = 288 + -8x 4X + xX = 288 + -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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