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Simplifying (g + -1h)(g2 + gh + h2) = 0 Reorder the terms: (g + -1h)(gh + g2 + h2) = 0 Multiply (g + -1h) * (gh + g2 + h2) (g(gh + g2 + h2) + -1h * (gh + g2 + h2)) = 0 ((gh * g + g2 * g + h2 * g) + -1h * (gh + g2 + h2)) = 0 Reorder the terms: ((gh2 + g2h + g3) + -1h * (gh + g2 + h2)) = 0 ((gh2 + g2h + g3) + -1h * (gh + g2 + h2)) = 0 (gh2 + g2h + g3 + (gh * -1h + g2 * -1h + h2 * -1h)) = 0 (gh2 + g2h + g3 + (-1gh2 + -1g2h + -1h3)) = 0 Reorder the terms: (gh2 + -1gh2 + g2h + -1g2h + g3 + -1h3) = 0 Combine like terms: gh2 + -1gh2 = 0 (0 + g2h + -1g2h + g3 + -1h3) = 0 (g2h + -1g2h + g3 + -1h3) = 0 Combine like terms: g2h + -1g2h = 0 (0 + g3 + -1h3) = 0 (g3 + -1h3) = 0 Solving g3 + -1h3 = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add 'h3' to each side of the equation. g3 + -1h3 + h3 = 0 + h3 Combine like terms: -1h3 + h3 = 0 g3 + 0 = 0 + h3 g3 = 0 + h3 Remove the zero: g3 = h3 Simplifying g3 = h3 Combine like terms: h3 + -1h3 = 0 g3 + -1h3 = 0 The solution to this equation could not be determined.
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