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Simplifying (a(a2 + a + -1) + -1a2(a + 1)) * 5 = 0 Reorder the terms: (a(-1 + a + a2) + -1a2(a + 1)) * 5 = 0 ((-1 * a + a * a + a2 * a) + -1a2(a + 1)) * 5 = 0 ((-1a + a2 + a3) + -1a2(a + 1)) * 5 = 0 Reorder the terms: (-1a + a2 + a3 + -1a2(1 + a)) * 5 = 0 (-1a + a2 + a3 + (1 * -1a2 + a * -1a2)) * 5 = 0 (-1a + a2 + a3 + (-1a2 + -1a3)) * 5 = 0 Reorder the terms: (-1a + a2 + -1a2 + a3 + -1a3) * 5 = 0 Combine like terms: a2 + -1a2 = 0 (-1a + 0 + a3 + -1a3) * 5 = 0 (-1a + a3 + -1a3) * 5 = 0 Combine like terms: a3 + -1a3 = 0 (-1a + 0) * 5 = 0 (-1a) * 5 = 0 Remove parenthesis around (-1a) -1a * 5 = 0 Reorder the terms for easier multiplication: -1 * 5a = 0 Multiply -1 * 5 -5a = 0 Solving -5a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Divide each side by '-5'. a = 0 Simplifying a = 0
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