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Simplifying (ax * -8x + 8)(x + 1) = 0 Reorder the terms for easier multiplication: (-8ax * x + 8)(x + 1) = 0 Multiply ax * x (-8ax2 + 8)(x + 1) = 0 Reorder the terms: (8 + -8ax2)(x + 1) = 0 Reorder the terms: (8 + -8ax2)(1 + x) = 0 Multiply (8 + -8ax2) * (1 + x) (8(1 + x) + -8ax2 * (1 + x)) = 0 ((1 * 8 + x * 8) + -8ax2 * (1 + x)) = 0 ((8 + 8x) + -8ax2 * (1 + x)) = 0 (8 + 8x + (1 * -8ax2 + x * -8ax2)) = 0 (8 + 8x + (-8ax2 + -8ax3)) = 0 Reorder the terms: (8 + -8ax2 + -8ax3 + 8x) = 0 (8 + -8ax2 + -8ax3 + 8x) = 0 Solving 8 + -8ax2 + -8ax3 + 8x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8ax2 + -8ax3 + -8 + 8x = 0 + -8 Reorder the terms: 8 + -8 + -8ax2 + -8ax3 + 8x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -8ax2 + -8ax3 + 8x = 0 + -8 -8ax2 + -8ax3 + 8x = 0 + -8 Combine like terms: 0 + -8 = -8 -8ax2 + -8ax3 + 8x = -8 Add '-8x' to each side of the equation. -8ax2 + -8ax3 + 8x + -8x = -8 + -8x Combine like terms: 8x + -8x = 0 -8ax2 + -8ax3 + 0 = -8 + -8x -8ax2 + -8ax3 = -8 + -8x Reorder the terms: 8 + -8ax2 + -8ax3 + 8x = -8 + -8x + 8 + 8x Reorder the terms: 8 + -8ax2 + -8ax3 + 8x = -8 + 8 + -8x + 8x Combine like terms: -8 + 8 = 0 8 + -8ax2 + -8ax3 + 8x = 0 + -8x + 8x 8 + -8ax2 + -8ax3 + 8x = -8x + 8x Combine like terms: -8x + 8x = 0 8 + -8ax2 + -8ax3 + 8x = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(1 + -1ax2 + -1ax3 + x) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(1 + -1ax2 + -1ax3 + x)' equal to zero and attempt to solve: Simplifying 1 + -1ax2 + -1ax3 + x = 0 Solving 1 + -1ax2 + -1ax3 + x = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1ax2 + -1ax3 + -1 + x = 0 + -1 Reorder the terms: 1 + -1 + -1ax2 + -1ax3 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1ax2 + -1ax3 + x = 0 + -1 -1ax2 + -1ax3 + x = 0 + -1 Combine like terms: 0 + -1 = -1 -1ax2 + -1ax3 + x = -1 Add '-1x' to each side of the equation. -1ax2 + -1ax3 + x + -1x = -1 + -1x Combine like terms: x + -1x = 0 -1ax2 + -1ax3 + 0 = -1 + -1x -1ax2 + -1ax3 = -1 + -1x 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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