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Simplifying (8 + -1x)(64 + 8x + x2) = 0 Multiply (8 + -1x) * (64 + 8x + x2) (8(64 + 8x + x2) + -1x * (64 + 8x + x2)) = 0 ((64 * 8 + 8x * 8 + x2 * 8) + -1x * (64 + 8x + x2)) = 0 ((512 + 64x + 8x2) + -1x * (64 + 8x + x2)) = 0 (512 + 64x + 8x2 + (64 * -1x + 8x * -1x + x2 * -1x)) = 0 (512 + 64x + 8x2 + (-64x + -8x2 + -1x3)) = 0 Reorder the terms: (512 + 64x + -64x + 8x2 + -8x2 + -1x3) = 0 Combine like terms: 64x + -64x = 0 (512 + 0 + 8x2 + -8x2 + -1x3) = 0 (512 + 8x2 + -8x2 + -1x3) = 0 Combine like terms: 8x2 + -8x2 = 0 (512 + 0 + -1x3) = 0 (512 + -1x3) = 0 Solving 512 + -1x3 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-512' to each side of the equation. 512 + -512 + -1x3 = 0 + -512 Combine like terms: 512 + -512 = 0 0 + -1x3 = 0 + -512 -1x3 = 0 + -512 Combine like terms: 0 + -512 = -512 -1x3 = -512 Divide each side by '-1'. x3 = 512 Simplifying x3 = 512 Reorder the terms: -512 + x3 = 512 + -512 Combine like terms: 512 + -512 = 0 -512 + x3 = 0 The solution to this equation could not be determined.
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