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Simplifying (16 + -2x)(8 + -2X) = 20 Multiply (16 + -2x) * (8 + -2X) (16(8 + -2X) + -2x * (8 + -2X)) = 20 ((8 * 16 + -2X * 16) + -2x * (8 + -2X)) = 20 ((128 + -32X) + -2x * (8 + -2X)) = 20 (128 + -32X + (8 * -2x + -2X * -2x)) = 20 (128 + -32X + (-16x + 4xX)) = 20 (128 + -32X + -16x + 4xX) = 20 Solving 128 + -32X + -16x + 4xX = 20 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-128' to each side of the equation. 128 + -32X + -16x + -128 + 4xX = 20 + -128 Reorder the terms: 128 + -128 + -32X + -16x + 4xX = 20 + -128 Combine like terms: 128 + -128 = 0 0 + -32X + -16x + 4xX = 20 + -128 -32X + -16x + 4xX = 20 + -128 Combine like terms: 20 + -128 = -108 -32X + -16x + 4xX = -108 Add '16x' to each side of the equation. -32X + -16x + 16x + 4xX = -108 + 16x Combine like terms: -16x + 16x = 0 -32X + 0 + 4xX = -108 + 16x -32X + 4xX = -108 + 16x Reorder the terms: 108 + -32X + -16x + 4xX = -108 + 16x + 108 + -16x Reorder the terms: 108 + -32X + -16x + 4xX = -108 + 108 + 16x + -16x Combine like terms: -108 + 108 = 0 108 + -32X + -16x + 4xX = 0 + 16x + -16x 108 + -32X + -16x + 4xX = 16x + -16x Combine like terms: 16x + -16x = 0 108 + -32X + -16x + 4xX = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(27 + -8X + -4x + xX) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(27 + -8X + -4x + xX)' equal to zero and attempt to solve: Simplifying 27 + -8X + -4x + xX = 0 Solving 27 + -8X + -4x + xX = 0 Move all terms containing X to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -8X + -4x + -27 + xX = 0 + -27 Reorder the terms: 27 + -27 + -8X + -4x + xX = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -8X + -4x + xX = 0 + -27 -8X + -4x + xX = 0 + -27 Combine like terms: 0 + -27 = -27 -8X + -4x + xX = -27 Add '4x' to each side of the equation. -8X + -4x + 4x + xX = -27 + 4x Combine like terms: -4x + 4x = 0 -8X + 0 + xX = -27 + 4x -8X + xX = -27 + 4x 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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