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Simplifying (X2 + -4x)(2x + 2) = 0 Reorder the terms: (X2 + -4x)(2 + 2x) = 0 Multiply (X2 + -4x) * (2 + 2x) (X2(2 + 2x) + -4x * (2 + 2x)) = 0 ((2 * X2 + 2x * X2) + -4x * (2 + 2x)) = 0 ((2X2 + 2xX2) + -4x * (2 + 2x)) = 0 (2X2 + 2xX2 + (2 * -4x + 2x * -4x)) = 0 (2X2 + 2xX2 + (-8x + -8x2)) = 0 Reorder the terms: (2X2 + -8x + 2xX2 + -8x2) = 0 (2X2 + -8x + 2xX2 + -8x2) = 0 Solving 2X2 + -8x + 2xX2 + -8x2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '8x' to each side of the equation. 2X2 + -8x + 2xX2 + 8x + -8x2 = 0 + 8x Reorder the terms: 2X2 + -8x + 8x + 2xX2 + -8x2 = 0 + 8x Combine like terms: -8x + 8x = 0 2X2 + 0 + 2xX2 + -8x2 = 0 + 8x 2X2 + 2xX2 + -8x2 = 0 + 8x Remove the zero: 2X2 + 2xX2 + -8x2 = 8x Add '8x2' to each side of the equation. 2X2 + 2xX2 + -8x2 + 8x2 = 8x + 8x2 Combine like terms: -8x2 + 8x2 = 0 2X2 + 2xX2 + 0 = 8x + 8x2 2X2 + 2xX2 = 8x + 8x2 Reorder the terms: 2X2 + -8x + 2xX2 + -8x2 = 8x + 8x2 + -8x + -8x2 Reorder the terms: 2X2 + -8x + 2xX2 + -8x2 = 8x + -8x + 8x2 + -8x2 Combine like terms: 8x + -8x = 0 2X2 + -8x + 2xX2 + -8x2 = 0 + 8x2 + -8x2 2X2 + -8x + 2xX2 + -8x2 = 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 2X2 + -8x + 2xX2 + -8x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(X2 + -4x + xX2 + -4x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(X2 + -4x + xX2 + -4x2)' equal to zero and attempt to solve: Simplifying X2 + -4x + xX2 + -4x2 = 0 Solving X2 + -4x + xX2 + -4x2 = 0 Move all terms containing X to the left, all other terms to the right. Add '4x' to each side of the equation. X2 + -4x + xX2 + 4x + -4x2 = 0 + 4x Reorder the terms: X2 + -4x + 4x + xX2 + -4x2 = 0 + 4x Combine like terms: -4x + 4x = 0 X2 + 0 + xX2 + -4x2 = 0 + 4x X2 + xX2 + -4x2 = 0 + 4x Remove the zero: X2 + xX2 + -4x2 = 4x Add '4x2' to each side of the equation. X2 + xX2 + -4x2 + 4x2 = 4x + 4x2 Combine like terms: -4x2 + 4x2 = 0 X2 + xX2 + 0 = 4x + 4x2 X2 + xX2 = 4x + 4x2 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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