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Simplifying (x + 4)(4X + 4) = 216 Reorder the terms: (4 + x)(4X + 4) = 216 Reorder the terms: (4 + x)(4 + 4X) = 216 Multiply (4 + x) * (4 + 4X) (4(4 + 4X) + x(4 + 4X)) = 216 ((4 * 4 + 4X * 4) + x(4 + 4X)) = 216 ((16 + 16X) + x(4 + 4X)) = 216 (16 + 16X + (4 * x + 4X * x)) = 216 (16 + 16X + (4x + 4xX)) = 216 (16 + 16X + 4x + 4xX) = 216 Solving 16 + 16X + 4x + 4xX = 216 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + 16X + 4x + -16 + 4xX = 216 + -16 Reorder the terms: 16 + -16 + 16X + 4x + 4xX = 216 + -16 Combine like terms: 16 + -16 = 0 0 + 16X + 4x + 4xX = 216 + -16 16X + 4x + 4xX = 216 + -16 Combine like terms: 216 + -16 = 200 16X + 4x + 4xX = 200 Add '-4x' to each side of the equation. 16X + 4x + -4x + 4xX = 200 + -4x Combine like terms: 4x + -4x = 0 16X + 0 + 4xX = 200 + -4x 16X + 4xX = 200 + -4x Reorder the terms: -200 + 16X + 4x + 4xX = 200 + -4x + -200 + 4x Reorder the terms: -200 + 16X + 4x + 4xX = 200 + -200 + -4x + 4x Combine like terms: 200 + -200 = 0 -200 + 16X + 4x + 4xX = 0 + -4x + 4x -200 + 16X + 4x + 4xX = -4x + 4x Combine like terms: -4x + 4x = 0 -200 + 16X + 4x + 4xX = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-50 + 4X + x + xX) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-50 + 4X + x + xX)' equal to zero and attempt to solve: Simplifying -50 + 4X + x + xX = 0 Solving -50 + 4X + x + xX = 0 Move all terms containing X to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 4X + x + 50 + xX = 0 + 50 Reorder the terms: -50 + 50 + 4X + x + xX = 0 + 50 Combine like terms: -50 + 50 = 0 0 + 4X + x + xX = 0 + 50 4X + x + xX = 0 + 50 Combine like terms: 0 + 50 = 50 4X + x + xX = 50 Add '-1x' to each side of the equation. 4X + x + -1x + xX = 50 + -1x Combine like terms: x + -1x = 0 4X + 0 + xX = 50 + -1x 4X + xX = 50 + -1x 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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