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Simplifying X(2x + -2) + x(6x + -3) = (8x + 9)(x + -2) Reorder the terms: X(-2 + 2x) + x(6x + -3) = (8x + 9)(x + -2) (-2 * X + 2x * X) + x(6x + -3) = (8x + 9)(x + -2) (-2X + 2xX) + x(6x + -3) = (8x + 9)(x + -2) Reorder the terms: -2X + 2xX + x(-3 + 6x) = (8x + 9)(x + -2) -2X + 2xX + (-3 * x + 6x * x) = (8x + 9)(x + -2) -2X + 2xX + (-3x + 6x2) = (8x + 9)(x + -2) Reorder the terms: -2X + -3x + 2xX + 6x2 = (8x + 9)(x + -2) Reorder the terms: -2X + -3x + 2xX + 6x2 = (9 + 8x)(x + -2) Reorder the terms: -2X + -3x + 2xX + 6x2 = (9 + 8x)(-2 + x) Multiply (9 + 8x) * (-2 + x) -2X + -3x + 2xX + 6x2 = (9(-2 + x) + 8x * (-2 + x)) -2X + -3x + 2xX + 6x2 = ((-2 * 9 + x * 9) + 8x * (-2 + x)) -2X + -3x + 2xX + 6x2 = ((-18 + 9x) + 8x * (-2 + x)) -2X + -3x + 2xX + 6x2 = (-18 + 9x + (-2 * 8x + x * 8x)) -2X + -3x + 2xX + 6x2 = (-18 + 9x + (-16x + 8x2)) Combine like terms: 9x + -16x = -7x -2X + -3x + 2xX + 6x2 = (-18 + -7x + 8x2) Solving -2X + -3x + 2xX + 6x2 = -18 + -7x + 8x2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '3x' to each side of the equation. -2X + -3x + 2xX + 3x + 6x2 = -18 + -7x + 3x + 8x2 Reorder the terms: -2X + -3x + 3x + 2xX + 6x2 = -18 + -7x + 3x + 8x2 Combine like terms: -3x + 3x = 0 -2X + 0 + 2xX + 6x2 = -18 + -7x + 3x + 8x2 -2X + 2xX + 6x2 = -18 + -7x + 3x + 8x2 Combine like terms: -7x + 3x = -4x -2X + 2xX + 6x2 = -18 + -4x + 8x2 Add '-6x2' to each side of the equation. -2X + 2xX + 6x2 + -6x2 = -18 + -4x + 8x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -2X + 2xX + 0 = -18 + -4x + 8x2 + -6x2 -2X + 2xX = -18 + -4x + 8x2 + -6x2 Combine like terms: 8x2 + -6x2 = 2x2 -2X + 2xX = -18 + -4x + 2x2 Reorder the terms: 18 + -2X + 4x + 2xX + -2x2 = -18 + -4x + 2x2 + 18 + 4x + -2x2 Reorder the terms: 18 + -2X + 4x + 2xX + -2x2 = -18 + 18 + -4x + 4x + 2x2 + -2x2 Combine like terms: -18 + 18 = 0 18 + -2X + 4x + 2xX + -2x2 = 0 + -4x + 4x + 2x2 + -2x2 18 + -2X + 4x + 2xX + -2x2 = -4x + 4x + 2x2 + -2x2 Combine like terms: -4x + 4x = 0 18 + -2X + 4x + 2xX + -2x2 = 0 + 2x2 + -2x2 18 + -2X + 4x + 2xX + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 18 + -2X + 4x + 2xX + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(9 + -1X + 2x + xX + -1x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(9 + -1X + 2x + xX + -1x2)' equal to zero and attempt to solve: Simplifying 9 + -1X + 2x + xX + -1x2 = 0 Solving 9 + -1X + 2x + xX + -1x2 = 0 Move all terms containing X to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -1X + 2x + xX + -9 + -1x2 = 0 + -9 Reorder the terms: 9 + -9 + -1X + 2x + xX + -1x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1X + 2x + xX + -1x2 = 0 + -9 -1X + 2x + xX + -1x2 = 0 + -9 Combine like terms: 0 + -9 = -9 -1X + 2x + xX + -1x2 = -9 Add '-2x' to each side of the equation. -1X + 2x + xX + -2x + -1x2 = -9 + -2x Reorder the terms: -1X + 2x + -2x + xX + -1x2 = -9 + -2x Combine like terms: 2x + -2x = 0 -1X + 0 + xX + -1x2 = -9 + -2x -1X + xX + -1x2 = -9 + -2x Add 'x2' to each side of the equation. -1X + xX + -1x2 + x2 = -9 + -2x + x2 Combine like terms: -1x2 + x2 = 0 -1X + xX + 0 = -9 + -2x + x2 -1X + xX = -9 + -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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