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Simplifying X(2x + 2) + 12x + -2 = 30 Reorder the terms: X(2 + 2x) + 12x + -2 = 30 (2 * X + 2x * X) + 12x + -2 = 30 (2X + 2xX) + 12x + -2 = 30 Reorder the terms: -2 + 2X + 12x + 2xX = 30 Solving -2 + 2X + 12x + 2xX = 30 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 + 12x + 2 + 2xX = 30 + 2 Reorder the terms: -2 + 2 + 2X + 12x + 2xX = 30 + 2 Combine like terms: -2 + 2 = 0 0 + 2X + 12x + 2xX = 30 + 2 2X + 12x + 2xX = 30 + 2 Combine like terms: 30 + 2 = 32 2X + 12x + 2xX = 32 Add '-12x' to each side of the equation. 2X + 12x + -12x + 2xX = 32 + -12x Combine like terms: 12x + -12x = 0 2X + 0 + 2xX = 32 + -12x 2X + 2xX = 32 + -12x Reorder the terms: -32 + 2X + 12x + 2xX = 32 + -12x + -32 + 12x Reorder the terms: -32 + 2X + 12x + 2xX = 32 + -32 + -12x + 12x Combine like terms: 32 + -32 = 0 -32 + 2X + 12x + 2xX = 0 + -12x + 12x -32 + 2X + 12x + 2xX = -12x + 12x Combine like terms: -12x + 12x = 0 -32 + 2X + 12x + 2xX = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-16 + X + 6x + xX) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-16 + X + 6x + xX)' equal to zero and attempt to solve: Simplifying -16 + X + 6x + xX = 0 Solving -16 + X + 6x + xX = 0 Move all terms containing X to the left, all other terms to the right. Add '16' to each side of the equation. -16 + X + 6x + 16 + xX = 0 + 16 Reorder the terms: -16 + 16 + X + 6x + xX = 0 + 16 Combine like terms: -16 + 16 = 0 0 + X + 6x + xX = 0 + 16 X + 6x + xX = 0 + 16 Combine like terms: 0 + 16 = 16 X + 6x + xX = 16 Add '-6x' to each side of the equation. X + 6x + -6x + xX = 16 + -6x Combine like terms: 6x + -6x = 0 X + 0 + xX = 16 + -6x X + xX = 16 + -6x 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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