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Simplifying X(2x + -6) = (2x + 2)(x + -6) Reorder the terms: X(-6 + 2x) = (2x + 2)(x + -6) (-6 * X + 2x * X) = (2x + 2)(x + -6) (-6X + 2xX) = (2x + 2)(x + -6) Reorder the terms: -6X + 2xX = (2 + 2x)(x + -6) Reorder the terms: -6X + 2xX = (2 + 2x)(-6 + x) Multiply (2 + 2x) * (-6 + x) -6X + 2xX = (2(-6 + x) + 2x * (-6 + x)) -6X + 2xX = ((-6 * 2 + x * 2) + 2x * (-6 + x)) -6X + 2xX = ((-12 + 2x) + 2x * (-6 + x)) -6X + 2xX = (-12 + 2x + (-6 * 2x + x * 2x)) -6X + 2xX = (-12 + 2x + (-12x + 2x2)) Combine like terms: 2x + -12x = -10x -6X + 2xX = (-12 + -10x + 2x2) Solving -6X + 2xX = -12 + -10x + 2x2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Reorder the terms: 12 + -6X + 10x + 2xX + -2x2 = -12 + -10x + 2x2 + 12 + 10x + -2x2 Reorder the terms: 12 + -6X + 10x + 2xX + -2x2 = -12 + 12 + -10x + 10x + 2x2 + -2x2 Combine like terms: -12 + 12 = 0 12 + -6X + 10x + 2xX + -2x2 = 0 + -10x + 10x + 2x2 + -2x2 12 + -6X + 10x + 2xX + -2x2 = -10x + 10x + 2x2 + -2x2 Combine like terms: -10x + 10x = 0 12 + -6X + 10x + 2xX + -2x2 = 0 + 2x2 + -2x2 12 + -6X + 10x + 2xX + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 12 + -6X + 10x + 2xX + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(6 + -3X + 5x + xX + -1x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(6 + -3X + 5x + xX + -1x2)' equal to zero and attempt to solve: Simplifying 6 + -3X + 5x + xX + -1x2 = 0 Solving 6 + -3X + 5x + xX + -1x2 = 0 Move all terms containing X to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -3X + 5x + xX + -6 + -1x2 = 0 + -6 Reorder the terms: 6 + -6 + -3X + 5x + xX + -1x2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -3X + 5x + xX + -1x2 = 0 + -6 -3X + 5x + xX + -1x2 = 0 + -6 Combine like terms: 0 + -6 = -6 -3X + 5x + xX + -1x2 = -6 Add '-5x' to each side of the equation. -3X + 5x + xX + -5x + -1x2 = -6 + -5x Reorder the terms: -3X + 5x + -5x + xX + -1x2 = -6 + -5x Combine like terms: 5x + -5x = 0 -3X + 0 + xX + -1x2 = -6 + -5x -3X + xX + -1x2 = -6 + -5x Add 'x2' to each side of the equation. -3X + xX + -1x2 + x2 = -6 + -5x + x2 Combine like terms: -1x2 + x2 = 0 -3X + xX + 0 = -6 + -5x + x2 -3X + xX = -6 + -5x + x2 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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