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Simplifying X(2x + -2) + x(2x + -4) = (4x + 4)(x + -3) Reorder the terms: X(-2 + 2x) + x(2x + -4) = (4x + 4)(x + -3) (-2 * X + 2x * X) + x(2x + -4) = (4x + 4)(x + -3) (-2X + 2xX) + x(2x + -4) = (4x + 4)(x + -3) Reorder the terms: -2X + 2xX + x(-4 + 2x) = (4x + 4)(x + -3) -2X + 2xX + (-4 * x + 2x * x) = (4x + 4)(x + -3) -2X + 2xX + (-4x + 2x2) = (4x + 4)(x + -3) Reorder the terms: -2X + -4x + 2xX + 2x2 = (4x + 4)(x + -3) Reorder the terms: -2X + -4x + 2xX + 2x2 = (4 + 4x)(x + -3) Reorder the terms: -2X + -4x + 2xX + 2x2 = (4 + 4x)(-3 + x) Multiply (4 + 4x) * (-3 + x) -2X + -4x + 2xX + 2x2 = (4(-3 + x) + 4x * (-3 + x)) -2X + -4x + 2xX + 2x2 = ((-3 * 4 + x * 4) + 4x * (-3 + x)) -2X + -4x + 2xX + 2x2 = ((-12 + 4x) + 4x * (-3 + x)) -2X + -4x + 2xX + 2x2 = (-12 + 4x + (-3 * 4x + x * 4x)) -2X + -4x + 2xX + 2x2 = (-12 + 4x + (-12x + 4x2)) Combine like terms: 4x + -12x = -8x -2X + -4x + 2xX + 2x2 = (-12 + -8x + 4x2) Solving -2X + -4x + 2xX + 2x2 = -12 + -8x + 4x2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '4x' to each side of the equation. -2X + -4x + 2xX + 4x + 2x2 = -12 + -8x + 4x + 4x2 Reorder the terms: -2X + -4x + 4x + 2xX + 2x2 = -12 + -8x + 4x + 4x2 Combine like terms: -4x + 4x = 0 -2X + 0 + 2xX + 2x2 = -12 + -8x + 4x + 4x2 -2X + 2xX + 2x2 = -12 + -8x + 4x + 4x2 Combine like terms: -8x + 4x = -4x -2X + 2xX + 2x2 = -12 + -4x + 4x2 Add '-2x2' to each side of the equation. -2X + 2xX + 2x2 + -2x2 = -12 + -4x + 4x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -2X + 2xX + 0 = -12 + -4x + 4x2 + -2x2 -2X + 2xX = -12 + -4x + 4x2 + -2x2 Combine like terms: 4x2 + -2x2 = 2x2 -2X + 2xX = -12 + -4x + 2x2 Reorder the terms: 12 + -2X + 4x + 2xX + -2x2 = -12 + -4x + 2x2 + 12 + 4x + -2x2 Reorder the terms: 12 + -2X + 4x + 2xX + -2x2 = -12 + 12 + -4x + 4x + 2x2 + -2x2 Combine like terms: -12 + 12 = 0 12 + -2X + 4x + 2xX + -2x2 = 0 + -4x + 4x + 2x2 + -2x2 12 + -2X + 4x + 2xX + -2x2 = -4x + 4x + 2x2 + -2x2 Combine like terms: -4x + 4x = 0 12 + -2X + 4x + 2xX + -2x2 = 0 + 2x2 + -2x2 12 + -2X + 4x + 2xX + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 12 + -2X + 4x + 2xX + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(6 + -1X + 2x + xX + -1x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(6 + -1X + 2x + xX + -1x2)' equal to zero and attempt to solve: Simplifying 6 + -1X + 2x + xX + -1x2 = 0 Solving 6 + -1X + 2x + 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 + -1X + 2x + xX + -6 + -1x2 = 0 + -6 Reorder the terms: 6 + -6 + -1X + 2x + xX + -1x2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1X + 2x + xX + -1x2 = 0 + -6 -1X + 2x + xX + -1x2 = 0 + -6 Combine like terms: 0 + -6 = -6 -1X + 2x + xX + -1x2 = -6 Add '-2x' to each side of the equation. -1X + 2x + xX + -2x + -1x2 = -6 + -2x Reorder the terms: -1X + 2x + -2x + xX + -1x2 = -6 + -2x Combine like terms: 2x + -2x = 0 -1X + 0 + xX + -1x2 = -6 + -2x -1X + xX + -1x2 = -6 + -2x Add 'x2' to each side of the equation. -1X + xX + -1x2 + x2 = -6 + -2x + x2 Combine like terms: -1x2 + x2 = 0 -1X + xX + 0 = -6 + -2x + x2 -1X + xX = -6 + -2x + 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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