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Simplifying (X + 6)(2x + -4) = -4 Reorder the terms: (6 + X)(2x + -4) = -4 Reorder the terms: (6 + X)(-4 + 2x) = -4 Multiply (6 + X) * (-4 + 2x) (6(-4 + 2x) + X(-4 + 2x)) = -4 ((-4 * 6 + 2x * 6) + X(-4 + 2x)) = -4 ((-24 + 12x) + X(-4 + 2x)) = -4 (-24 + 12x + (-4 * X + 2x * X)) = -4 (-24 + 12x + (-4X + 2xX)) = -4 Reorder the terms: (-24 + -4X + 12x + 2xX) = -4 (-24 + -4X + 12x + 2xX) = -4 Solving -24 + -4X + 12x + 2xX = -4 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '24' to each side of the equation. -24 + -4X + 12x + 24 + 2xX = -4 + 24 Reorder the terms: -24 + 24 + -4X + 12x + 2xX = -4 + 24 Combine like terms: -24 + 24 = 0 0 + -4X + 12x + 2xX = -4 + 24 -4X + 12x + 2xX = -4 + 24 Combine like terms: -4 + 24 = 20 -4X + 12x + 2xX = 20 Add '-12x' to each side of the equation. -4X + 12x + -12x + 2xX = 20 + -12x Combine like terms: 12x + -12x = 0 -4X + 0 + 2xX = 20 + -12x -4X + 2xX = 20 + -12x Reorder the terms: -20 + -4X + 12x + 2xX = 20 + -12x + -20 + 12x Reorder the terms: -20 + -4X + 12x + 2xX = 20 + -20 + -12x + 12x Combine like terms: 20 + -20 = 0 -20 + -4X + 12x + 2xX = 0 + -12x + 12x -20 + -4X + 12x + 2xX = -12x + 12x Combine like terms: -12x + 12x = 0 -20 + -4X + 12x + 2xX = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-10 + -2X + 6x + xX) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-10 + -2X + 6x + xX)' equal to zero and attempt to solve: Simplifying -10 + -2X + 6x + xX = 0 Solving -10 + -2X + 6x + xX = 0 Move all terms containing X to the left, all other terms to the right. Add '10' to each side of the equation. -10 + -2X + 6x + 10 + xX = 0 + 10 Reorder the terms: -10 + 10 + -2X + 6x + xX = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -2X + 6x + xX = 0 + 10 -2X + 6x + xX = 0 + 10 Combine like terms: 0 + 10 = 10 -2X + 6x + xX = 10 Add '-6x' to each side of the equation. -2X + 6x + -6x + xX = 10 + -6x Combine like terms: 6x + -6x = 0 -2X + 0 + xX = 10 + -6x -2X + xX = 10 + -6x 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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