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Simplifying (X3 + -3x2 + 3)(4x + 2) = 0 Reorder the terms: (3 + X3 + -3x2)(4x + 2) = 0 Reorder the terms: (3 + X3 + -3x2)(2 + 4x) = 0 Multiply (3 + X3 + -3x2) * (2 + 4x) (3(2 + 4x) + X3(2 + 4x) + -3x2 * (2 + 4x)) = 0 ((2 * 3 + 4x * 3) + X3(2 + 4x) + -3x2 * (2 + 4x)) = 0 ((6 + 12x) + X3(2 + 4x) + -3x2 * (2 + 4x)) = 0 (6 + 12x + (2 * X3 + 4x * X3) + -3x2 * (2 + 4x)) = 0 (6 + 12x + (2X3 + 4xX3) + -3x2 * (2 + 4x)) = 0 (6 + 12x + 2X3 + 4xX3 + (2 * -3x2 + 4x * -3x2)) = 0 (6 + 12x + 2X3 + 4xX3 + (-6x2 + -12x3)) = 0 Reorder the terms: (6 + 2X3 + 12x + 4xX3 + -6x2 + -12x3) = 0 (6 + 2X3 + 12x + 4xX3 + -6x2 + -12x3) = 0 Solving 6 + 2X3 + 12x + 4xX3 + -6x2 + -12x3 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 2X3 + 12x + 4xX3 + -6x2 + -6 + -12x3 = 0 + -6 Reorder the terms: 6 + -6 + 2X3 + 12x + 4xX3 + -6x2 + -12x3 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 2X3 + 12x + 4xX3 + -6x2 + -12x3 = 0 + -6 2X3 + 12x + 4xX3 + -6x2 + -12x3 = 0 + -6 Combine like terms: 0 + -6 = -6 2X3 + 12x + 4xX3 + -6x2 + -12x3 = -6 Add '-12x' to each side of the equation. 2X3 + 12x + 4xX3 + -6x2 + -12x + -12x3 = -6 + -12x Reorder the terms: 2X3 + 12x + -12x + 4xX3 + -6x2 + -12x3 = -6 + -12x Combine like terms: 12x + -12x = 0 2X3 + 0 + 4xX3 + -6x2 + -12x3 = -6 + -12x 2X3 + 4xX3 + -6x2 + -12x3 = -6 + -12x Add '6x2' to each side of the equation. 2X3 + 4xX3 + -6x2 + 6x2 + -12x3 = -6 + -12x + 6x2 Combine like terms: -6x2 + 6x2 = 0 2X3 + 4xX3 + 0 + -12x3 = -6 + -12x + 6x2 2X3 + 4xX3 + -12x3 = -6 + -12x + 6x2 Add '12x3' to each side of the equation. 2X3 + 4xX3 + -12x3 + 12x3 = -6 + -12x + 6x2 + 12x3 Combine like terms: -12x3 + 12x3 = 0 2X3 + 4xX3 + 0 = -6 + -12x + 6x2 + 12x3 2X3 + 4xX3 = -6 + -12x + 6x2 + 12x3 Reorder the terms: 6 + 2X3 + 12x + 4xX3 + -6x2 + -12x3 = -6 + -12x + 6x2 + 12x3 + 6 + 12x + -6x2 + -12x3 Reorder the terms: 6 + 2X3 + 12x + 4xX3 + -6x2 + -12x3 = -6 + 6 + -12x + 12x + 6x2 + -6x2 + 12x3 + -12x3 Combine like terms: -6 + 6 = 0 6 + 2X3 + 12x + 4xX3 + -6x2 + -12x3 = 0 + -12x + 12x + 6x2 + -6x2 + 12x3 + -12x3 6 + 2X3 + 12x + 4xX3 + -6x2 + -12x3 = -12x + 12x + 6x2 + -6x2 + 12x3 + -12x3 Combine like terms: -12x + 12x = 0 6 + 2X3 + 12x + 4xX3 + -6x2 + -12x3 = 0 + 6x2 + -6x2 + 12x3 + -12x3 6 + 2X3 + 12x + 4xX3 + -6x2 + -12x3 = 6x2 + -6x2 + 12x3 + -12x3 Combine like terms: 6x2 + -6x2 = 0 6 + 2X3 + 12x + 4xX3 + -6x2 + -12x3 = 0 + 12x3 + -12x3 6 + 2X3 + 12x + 4xX3 + -6x2 + -12x3 = 12x3 + -12x3 Combine like terms: 12x3 + -12x3 = 0 6 + 2X3 + 12x + 4xX3 + -6x2 + -12x3 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(3 + X3 + 6x + 2xX3 + -3x2 + -6x3) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3 + X3 + 6x + 2xX3 + -3x2 + -6x3)' equal to zero and attempt to solve: Simplifying 3 + X3 + 6x + 2xX3 + -3x2 + -6x3 = 0 Solving 3 + X3 + 6x + 2xX3 + -3x2 + -6x3 = 0 Move all terms containing X to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + X3 + 6x + 2xX3 + -3x2 + -3 + -6x3 = 0 + -3 Reorder the terms: 3 + -3 + X3 + 6x + 2xX3 + -3x2 + -6x3 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + X3 + 6x + 2xX3 + -3x2 + -6x3 = 0 + -3 X3 + 6x + 2xX3 + -3x2 + -6x3 = 0 + -3 Combine like terms: 0 + -3 = -3 X3 + 6x + 2xX3 + -3x2 + -6x3 = -3 Add '-6x' to each side of the equation. X3 + 6x + 2xX3 + -3x2 + -6x + -6x3 = -3 + -6x Reorder the terms: X3 + 6x + -6x + 2xX3 + -3x2 + -6x3 = -3 + -6x Combine like terms: 6x + -6x = 0 X3 + 0 + 2xX3 + -3x2 + -6x3 = -3 + -6x X3 + 2xX3 + -3x2 + -6x3 = -3 + -6x Add '3x2' to each side of the equation. X3 + 2xX3 + -3x2 + 3x2 + -6x3 = -3 + -6x + 3x2 Combine like terms: -3x2 + 3x2 = 0 X3 + 2xX3 + 0 + -6x3 = -3 + -6x + 3x2 X3 + 2xX3 + -6x3 = -3 + -6x + 3x2 Add '6x3' to each side of the equation. X3 + 2xX3 + -6x3 + 6x3 = -3 + -6x + 3x2 + 6x3 Combine like terms: -6x3 + 6x3 = 0 X3 + 2xX3 + 0 = -3 + -6x + 3x2 + 6x3 X3 + 2xX3 = -3 + -6x + 3x2 + 6x3 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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