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Simplifying [7a + -1a(7 + -9a)] + a(a + 3) = 0 [7a + (7 * -1a + -9a * -1a)] + a(a + 3) = 0 [7a + (-7a + 9a2)] + a(a + 3) = 0 Combine like terms: 7a + -7a = 0 [0 + 9a2] + a(a + 3) = 0 [9a2] + a(a + 3) = 0 [9a2] + a(a + 3) = 0 Reorder the terms: [9a2] + a(3 + a) = 0 [9a2] + (3 * a + a * a) = 0 [9a2] + (3a + a2) = 0 Reorder the terms: 3a + [9a2] + a2 = 0 Combine like terms: [9a2] + a2 = 10a2 3a + 10a2 = 0 Solving 3a + 10a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(3 + 10a) = 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 '(3 + 10a)' equal to zero and attempt to solve: Simplifying 3 + 10a = 0 Solving 3 + 10a = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 10a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 10a = 0 + -3 10a = 0 + -3 Combine like terms: 0 + -3 = -3 10a = -3 Divide each side by '10'. a = -0.3 Simplifying a = -0.3Solution
a = {0, -0.3}
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