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Simplifying 7a(a + 2) + -1a(1 + -1a) = 0 Reorder the terms: 7a(2 + a) + -1a(1 + -1a) = 0 (2 * 7a + a * 7a) + -1a(1 + -1a) = 0 (14a + 7a2) + -1a(1 + -1a) = 0 14a + 7a2 + (1 * -1a + -1a * -1a) = 0 14a + 7a2 + (-1a + 1a2) = 0 Reorder the terms: 14a + -1a + 7a2 + 1a2 = 0 Combine like terms: 14a + -1a = 13a 13a + 7a2 + 1a2 = 0 Combine like terms: 7a2 + 1a2 = 8a2 13a + 8a2 = 0 Solving 13a + 8a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(13 + 8a) = 0Subproblem 1
Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0Subproblem 2
Set the factor '(13 + 8a)' equal to zero and attempt to solve: Simplifying 13 + 8a = 0 Solving 13 + 8a = 0 Move all terms containing a to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 8a = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 8a = 0 + -13 8a = 0 + -13 Combine like terms: 0 + -13 = -13 8a = -13 Divide each side by '8'. a = -1.625 Simplifying a = -1.625Solution
a = {0, -1.625}
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