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Simplifying (X + -4)(2x + -4) = 196 Reorder the terms: (-4 + X)(2x + -4) = 196 Reorder the terms: (-4 + X)(-4 + 2x) = 196 Multiply (-4 + X) * (-4 + 2x) (-4(-4 + 2x) + X(-4 + 2x)) = 196 ((-4 * -4 + 2x * -4) + X(-4 + 2x)) = 196 ((16 + -8x) + X(-4 + 2x)) = 196 (16 + -8x + (-4 * X + 2x * X)) = 196 (16 + -8x + (-4X + 2xX)) = 196 Reorder the terms: (16 + -4X + -8x + 2xX) = 196 (16 + -4X + -8x + 2xX) = 196 Solving 16 + -4X + -8x + 2xX = 196 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 + -4X + -8x + -16 + 2xX = 196 + -16 Reorder the terms: 16 + -16 + -4X + -8x + 2xX = 196 + -16 Combine like terms: 16 + -16 = 0 0 + -4X + -8x + 2xX = 196 + -16 -4X + -8x + 2xX = 196 + -16 Combine like terms: 196 + -16 = 180 -4X + -8x + 2xX = 180 Add '8x' to each side of the equation. -4X + -8x + 8x + 2xX = 180 + 8x Combine like terms: -8x + 8x = 0 -4X + 0 + 2xX = 180 + 8x -4X + 2xX = 180 + 8x Reorder the terms: -180 + -4X + -8x + 2xX = 180 + 8x + -180 + -8x Reorder the terms: -180 + -4X + -8x + 2xX = 180 + -180 + 8x + -8x Combine like terms: 180 + -180 = 0 -180 + -4X + -8x + 2xX = 0 + 8x + -8x -180 + -4X + -8x + 2xX = 8x + -8x Combine like terms: 8x + -8x = 0 -180 + -4X + -8x + 2xX = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-90 + -2X + -4x + xX) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-90 + -2X + -4x + xX)' equal to zero and attempt to solve: Simplifying -90 + -2X + -4x + xX = 0 Solving -90 + -2X + -4x + xX = 0 Move all terms containing X to the left, all other terms to the right. Add '90' to each side of the equation. -90 + -2X + -4x + 90 + xX = 0 + 90 Reorder the terms: -90 + 90 + -2X + -4x + xX = 0 + 90 Combine like terms: -90 + 90 = 0 0 + -2X + -4x + xX = 0 + 90 -2X + -4x + xX = 0 + 90 Combine like terms: 0 + 90 = 90 -2X + -4x + xX = 90 Add '4x' to each side of the equation. -2X + -4x + 4x + xX = 90 + 4x Combine like terms: -4x + 4x = 0 -2X + 0 + xX = 90 + 4x -2X + xX = 90 + 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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