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Simplifying (x2 + -1a2)(x + 8) = 0 Reorder the terms: (-1a2 + x2)(x + 8) = 0 Reorder the terms: (-1a2 + x2)(8 + x) = 0 Multiply (-1a2 + x2) * (8 + x) (-1a2 * (8 + x) + x2(8 + x)) = 0 ((8 * -1a2 + x * -1a2) + x2(8 + x)) = 0 ((-8a2 + -1a2x) + x2(8 + x)) = 0 (-8a2 + -1a2x + (8 * x2 + x * x2)) = 0 (-8a2 + -1a2x + (8x2 + x3)) = 0 (-8a2 + -1a2x + 8x2 + x3) = 0 Solving -8a2 + -1a2x + 8x2 + x3 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8x2' to each side of the equation. -8a2 + -1a2x + 8x2 + -8x2 + x3 = 0 + -8x2 Combine like terms: 8x2 + -8x2 = 0 -8a2 + -1a2x + 0 + x3 = 0 + -8x2 -8a2 + -1a2x + x3 = 0 + -8x2 Remove the zero: -8a2 + -1a2x + x3 = -8x2 Add '-1x3' to each side of the equation. -8a2 + -1a2x + x3 + -1x3 = -8x2 + -1x3 Combine like terms: x3 + -1x3 = 0 -8a2 + -1a2x + 0 = -8x2 + -1x3 -8a2 + -1a2x = -8x2 + -1x3 Reorder the terms: -8a2 + -1a2x + 8x2 + x3 = -8x2 + 8x2 + -1x3 + x3 Combine like terms: -8x2 + 8x2 = 0 -8a2 + -1a2x + 8x2 + x3 = 0 + -1x3 + x3 -8a2 + -1a2x + 8x2 + x3 = -1x3 + x3 Combine like terms: -1x3 + x3 = 0 -8a2 + -1a2x + 8x2 + x3 = 0 The solution to this equation could not be determined.
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