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Simplifying (X + -2)((x + -2) + (x + 4)) = 36 Reorder the terms: (-2 + X)((x + -2) + (x + 4)) = 36 Reorder the terms: (-2 + X)((-2 + x) + (x + 4)) = 36 Remove parenthesis around (-2 + x) (-2 + X)(-2 + x + (x + 4)) = 36 Reorder the terms: (-2 + X)(-2 + x + (4 + x)) = 36 Remove parenthesis around (4 + x) (-2 + X)(-2 + x + 4 + x) = 36 Reorder the terms: (-2 + X)(-2 + 4 + x + x) = 36 Combine like terms: -2 + 4 = 2 (-2 + X)(2 + x + x) = 36 Combine like terms: x + x = 2x (-2 + X)(2 + 2x) = 36 Multiply (-2 + X) * (2 + 2x) (-2(2 + 2x) + X(2 + 2x)) = 36 ((2 * -2 + 2x * -2) + X(2 + 2x)) = 36 ((-4 + -4x) + X(2 + 2x)) = 36 (-4 + -4x + (2 * X + 2x * X)) = 36 (-4 + -4x + (2X + 2xX)) = 36 Reorder the terms: (-4 + 2X + -4x + 2xX) = 36 (-4 + 2X + -4x + 2xX) = 36 Solving -4 + 2X + -4x + 2xX = 36 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 2X + -4x + 4 + 2xX = 36 + 4 Reorder the terms: -4 + 4 + 2X + -4x + 2xX = 36 + 4 Combine like terms: -4 + 4 = 0 0 + 2X + -4x + 2xX = 36 + 4 2X + -4x + 2xX = 36 + 4 Combine like terms: 36 + 4 = 40 2X + -4x + 2xX = 40 Add '4x' to each side of the equation. 2X + -4x + 4x + 2xX = 40 + 4x Combine like terms: -4x + 4x = 0 2X + 0 + 2xX = 40 + 4x 2X + 2xX = 40 + 4x Reorder the terms: -40 + 2X + -4x + 2xX = 40 + 4x + -40 + -4x Reorder the terms: -40 + 2X + -4x + 2xX = 40 + -40 + 4x + -4x Combine like terms: 40 + -40 = 0 -40 + 2X + -4x + 2xX = 0 + 4x + -4x -40 + 2X + -4x + 2xX = 4x + -4x Combine like terms: 4x + -4x = 0 -40 + 2X + -4x + 2xX = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-20 + X + -2x + xX) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-20 + X + -2x + xX)' equal to zero and attempt to solve: Simplifying -20 + X + -2x + xX = 0 Solving -20 + X + -2x + xX = 0 Move all terms containing X to the left, all other terms to the right. Add '20' to each side of the equation. -20 + X + -2x + 20 + xX = 0 + 20 Reorder the terms: -20 + 20 + X + -2x + xX = 0 + 20 Combine like terms: -20 + 20 = 0 0 + X + -2x + xX = 0 + 20 X + -2x + xX = 0 + 20 Combine like terms: 0 + 20 = 20 X + -2x + xX = 20 Add '2x' to each side of the equation. X + -2x + 2x + xX = 20 + 2x Combine like terms: -2x + 2x = 0 X + 0 + xX = 20 + 2x X + xX = 20 + 2x 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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