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Simplifying (X + 2)(-6x2 + 2x + -4) = 0 Reorder the terms: (2 + X)(-6x2 + 2x + -4) = 0 Reorder the terms: (2 + X)(-4 + 2x + -6x2) = 0 Multiply (2 + X) * (-4 + 2x + -6x2) (2(-4 + 2x + -6x2) + X(-4 + 2x + -6x2)) = 0 ((-4 * 2 + 2x * 2 + -6x2 * 2) + X(-4 + 2x + -6x2)) = 0 ((-8 + 4x + -12x2) + X(-4 + 2x + -6x2)) = 0 (-8 + 4x + -12x2 + (-4 * X + 2x * X + -6x2 * X)) = 0 (-8 + 4x + -12x2 + (-4X + 2xX + -6x2X)) = 0 Reorder the terms: (-8 + -4X + 4x + 2xX + -12x2 + -6x2X) = 0 (-8 + -4X + 4x + 2xX + -12x2 + -6x2X) = 0 Solving -8 + -4X + 4x + 2xX + -12x2 + -6x2X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '8' to each side of the equation. -8 + -4X + 4x + 2xX + -12x2 + 8 + -6x2X = 0 + 8 Reorder the terms: -8 + 8 + -4X + 4x + 2xX + -12x2 + -6x2X = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -4X + 4x + 2xX + -12x2 + -6x2X = 0 + 8 -4X + 4x + 2xX + -12x2 + -6x2X = 0 + 8 Combine like terms: 0 + 8 = 8 -4X + 4x + 2xX + -12x2 + -6x2X = 8 Add '-4x' to each side of the equation. -4X + 4x + 2xX + -12x2 + -4x + -6x2X = 8 + -4x Reorder the terms: -4X + 4x + -4x + 2xX + -12x2 + -6x2X = 8 + -4x Combine like terms: 4x + -4x = 0 -4X + 0 + 2xX + -12x2 + -6x2X = 8 + -4x -4X + 2xX + -12x2 + -6x2X = 8 + -4x Add '12x2' to each side of the equation. -4X + 2xX + -12x2 + 12x2 + -6x2X = 8 + -4x + 12x2 Combine like terms: -12x2 + 12x2 = 0 -4X + 2xX + 0 + -6x2X = 8 + -4x + 12x2 -4X + 2xX + -6x2X = 8 + -4x + 12x2 Reorder the terms: -8 + -4X + 4x + 2xX + -12x2 + -6x2X = 8 + -4x + 12x2 + -8 + 4x + -12x2 Reorder the terms: -8 + -4X + 4x + 2xX + -12x2 + -6x2X = 8 + -8 + -4x + 4x + 12x2 + -12x2 Combine like terms: 8 + -8 = 0 -8 + -4X + 4x + 2xX + -12x2 + -6x2X = 0 + -4x + 4x + 12x2 + -12x2 -8 + -4X + 4x + 2xX + -12x2 + -6x2X = -4x + 4x + 12x2 + -12x2 Combine like terms: -4x + 4x = 0 -8 + -4X + 4x + 2xX + -12x2 + -6x2X = 0 + 12x2 + -12x2 -8 + -4X + 4x + 2xX + -12x2 + -6x2X = 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 -8 + -4X + 4x + 2xX + -12x2 + -6x2X = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-4 + -2X + 2x + xX + -6x2 + -3x2X) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4 + -2X + 2x + xX + -6x2 + -3x2X)' equal to zero and attempt to solve: Simplifying -4 + -2X + 2x + xX + -6x2 + -3x2X = 0 Solving -4 + -2X + 2x + xX + -6x2 + -3x2X = 0 Move all terms containing X to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -2X + 2x + xX + -6x2 + 4 + -3x2X = 0 + 4 Reorder the terms: -4 + 4 + -2X + 2x + xX + -6x2 + -3x2X = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -2X + 2x + xX + -6x2 + -3x2X = 0 + 4 -2X + 2x + xX + -6x2 + -3x2X = 0 + 4 Combine like terms: 0 + 4 = 4 -2X + 2x + xX + -6x2 + -3x2X = 4 Add '-2x' to each side of the equation. -2X + 2x + xX + -6x2 + -2x + -3x2X = 4 + -2x Reorder the terms: -2X + 2x + -2x + xX + -6x2 + -3x2X = 4 + -2x Combine like terms: 2x + -2x = 0 -2X + 0 + xX + -6x2 + -3x2X = 4 + -2x -2X + xX + -6x2 + -3x2X = 4 + -2x Add '6x2' to each side of the equation. -2X + xX + -6x2 + 6x2 + -3x2X = 4 + -2x + 6x2 Combine like terms: -6x2 + 6x2 = 0 -2X + xX + 0 + -3x2X = 4 + -2x + 6x2 -2X + xX + -3x2X = 4 + -2x + 6x2 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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