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