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Simplifying X(6x + -2) + 2 = 6x(x + -2) * x Reorder the terms: X(-2 + 6x) + 2 = 6x(x + -2) * x (-2 * X + 6x * X) + 2 = 6x(x + -2) * x (-2X + 6xX) + 2 = 6x(x + -2) * x Reorder the terms: 2 + -2X + 6xX = 6x(x + -2) * x Reorder the terms: 2 + -2X + 6xX = 6x(-2 + x) * x Reorder the terms for easier multiplication: 2 + -2X + 6xX = 6x * x(-2 + x) Multiply x * x 2 + -2X + 6xX = 6x2(-2 + x) 2 + -2X + 6xX = (-2 * 6x2 + x * 6x2) 2 + -2X + 6xX = (-12x2 + 6x3) Solving 2 + -2X + 6xX = -12x2 + 6x3 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2X + -2 + 6xX = -12x2 + -2 + 6x3 Reorder the terms: 2 + -2 + -2X + 6xX = -12x2 + -2 + 6x3 Combine like terms: 2 + -2 = 0 0 + -2X + 6xX = -12x2 + -2 + 6x3 -2X + 6xX = -12x2 + -2 + 6x3 Reorder the terms: -2X + 6xX = -2 + -12x2 + 6x3 Reorder the terms: 2 + -2X + 6xX + 12x2 + -6x3 = -2 + -12x2 + 6x3 + 2 + 12x2 + -6x3 Reorder the terms: 2 + -2X + 6xX + 12x2 + -6x3 = -2 + 2 + -12x2 + 12x2 + 6x3 + -6x3 Combine like terms: -2 + 2 = 0 2 + -2X + 6xX + 12x2 + -6x3 = 0 + -12x2 + 12x2 + 6x3 + -6x3 2 + -2X + 6xX + 12x2 + -6x3 = -12x2 + 12x2 + 6x3 + -6x3 Combine like terms: -12x2 + 12x2 = 0 2 + -2X + 6xX + 12x2 + -6x3 = 0 + 6x3 + -6x3 2 + -2X + 6xX + 12x2 + -6x3 = 6x3 + -6x3 Combine like terms: 6x3 + -6x3 = 0 2 + -2X + 6xX + 12x2 + -6x3 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(1 + -1X + 3xX + 6x2 + -3x3) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1 + -1X + 3xX + 6x2 + -3x3)' equal to zero and attempt to solve: Simplifying 1 + -1X + 3xX + 6x2 + -3x3 = 0 Solving 1 + -1X + 3xX + 6x2 + -3x3 = 0 Move all terms containing X to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1X + 3xX + 6x2 + -1 + -3x3 = 0 + -1 Reorder the terms: 1 + -1 + -1X + 3xX + 6x2 + -3x3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1X + 3xX + 6x2 + -3x3 = 0 + -1 -1X + 3xX + 6x2 + -3x3 = 0 + -1 Combine like terms: 0 + -1 = -1 -1X + 3xX + 6x2 + -3x3 = -1 Add '-6x2' to each side of the equation. -1X + 3xX + 6x2 + -6x2 + -3x3 = -1 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -1X + 3xX + 0 + -3x3 = -1 + -6x2 -1X + 3xX + -3x3 = -1 + -6x2 Add '3x3' to each side of the equation. -1X + 3xX + -3x3 + 3x3 = -1 + -6x2 + 3x3 Combine like terms: -3x3 + 3x3 = 0 -1X + 3xX + 0 = -1 + -6x2 + 3x3 -1X + 3xX = -1 + -6x2 + 3x3 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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