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Simplifying (a + d)(a2 + -1ad + d2) = 0 Reorder the terms: (a + d)(-1ad + a2 + d2) = 0 Multiply (a + d) * (-1ad + a2 + d2) (a(-1ad + a2 + d2) + d(-1ad + a2 + d2)) = 0 ((-1ad * a + a2 * a + d2 * a) + d(-1ad + a2 + d2)) = 0 Reorder the terms: ((ad2 + -1a2d + a3) + d(-1ad + a2 + d2)) = 0 ((ad2 + -1a2d + a3) + d(-1ad + a2 + d2)) = 0 (ad2 + -1a2d + a3 + (-1ad * d + a2 * d + d2 * d)) = 0 (ad2 + -1a2d + a3 + (-1ad2 + a2d + d3)) = 0 Reorder the terms: (ad2 + -1ad2 + -1a2d + a2d + a3 + d3) = 0 Combine like terms: ad2 + -1ad2 = 0 (0 + -1a2d + a2d + a3 + d3) = 0 (-1a2d + a2d + a3 + d3) = 0 Combine like terms: -1a2d + a2d = 0 (0 + a3 + d3) = 0 (a3 + d3) = 0 Solving a3 + d3 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1d3' to each side of the equation. a3 + d3 + -1d3 = 0 + -1d3 Combine like terms: d3 + -1d3 = 0 a3 + 0 = 0 + -1d3 a3 = 0 + -1d3 Remove the zero: a3 = -1d3 Simplifying a3 = -1d3 Combine like terms: -1d3 + d3 = 0 a3 + d3 = 0 The solution to this equation could not be determined.
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