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Simplifying X(4x + -4) = (4x + 2)(x + -2) Reorder the terms: X(-4 + 4x) = (4x + 2)(x + -2) (-4 * X + 4x * X) = (4x + 2)(x + -2) (-4X + 4xX) = (4x + 2)(x + -2) Reorder the terms: -4X + 4xX = (2 + 4x)(x + -2) Reorder the terms: -4X + 4xX = (2 + 4x)(-2 + x) Multiply (2 + 4x) * (-2 + x) -4X + 4xX = (2(-2 + x) + 4x * (-2 + x)) -4X + 4xX = ((-2 * 2 + x * 2) + 4x * (-2 + x)) -4X + 4xX = ((-4 + 2x) + 4x * (-2 + x)) -4X + 4xX = (-4 + 2x + (-2 * 4x + x * 4x)) -4X + 4xX = (-4 + 2x + (-8x + 4x2)) Combine like terms: 2x + -8x = -6x -4X + 4xX = (-4 + -6x + 4x2) Solving -4X + 4xX = -4 + -6x + 4x2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Reorder the terms: 4 + -4X + 6x + 4xX + -4x2 = -4 + -6x + 4x2 + 4 + 6x + -4x2 Reorder the terms: 4 + -4X + 6x + 4xX + -4x2 = -4 + 4 + -6x + 6x + 4x2 + -4x2 Combine like terms: -4 + 4 = 0 4 + -4X + 6x + 4xX + -4x2 = 0 + -6x + 6x + 4x2 + -4x2 4 + -4X + 6x + 4xX + -4x2 = -6x + 6x + 4x2 + -4x2 Combine like terms: -6x + 6x = 0 4 + -4X + 6x + 4xX + -4x2 = 0 + 4x2 + -4x2 4 + -4X + 6x + 4xX + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 4 + -4X + 6x + 4xX + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(2 + -2X + 3x + 2xX + -2x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2 + -2X + 3x + 2xX + -2x2)' equal to zero and attempt to solve: Simplifying 2 + -2X + 3x + 2xX + -2x2 = 0 Solving 2 + -2X + 3x + 2xX + -2x2 = 0 Move all terms containing X to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2X + 3x + 2xX + -2 + -2x2 = 0 + -2 Reorder the terms: 2 + -2 + -2X + 3x + 2xX + -2x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -2X + 3x + 2xX + -2x2 = 0 + -2 -2X + 3x + 2xX + -2x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -2X + 3x + 2xX + -2x2 = -2 Add '-3x' to each side of the equation. -2X + 3x + 2xX + -3x + -2x2 = -2 + -3x Reorder the terms: -2X + 3x + -3x + 2xX + -2x2 = -2 + -3x Combine like terms: 3x + -3x = 0 -2X + 0 + 2xX + -2x2 = -2 + -3x -2X + 2xX + -2x2 = -2 + -3x Add '2x2' to each side of the equation. -2X + 2xX + -2x2 + 2x2 = -2 + -3x + 2x2 Combine like terms: -2x2 + 2x2 = 0 -2X + 2xX + 0 = -2 + -3x + 2x2 -2X + 2xX = -2 + -3x + 2x2 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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