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Simplifying a(a + 5) + a(a + -2) = 0 Reorder the terms: a(5 + a) + a(a + -2) = 0 (5 * a + a * a) + a(a + -2) = 0 (5a + a2) + a(a + -2) = 0 Reorder the terms: 5a + a2 + a(-2 + a) = 0 5a + a2 + (-2 * a + a * a) = 0 5a + a2 + (-2a + a2) = 0 Reorder the terms: 5a + -2a + a2 + a2 = 0 Combine like terms: 5a + -2a = 3a 3a + a2 + a2 = 0 Combine like terms: a2 + a2 = 2a2 3a + 2a2 = 0 Solving 3a + 2a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(3 + 2a) = 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 + 2a)' equal to zero and attempt to solve: Simplifying 3 + 2a = 0 Solving 3 + 2a = 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 + 2a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2a = 0 + -3 2a = 0 + -3 Combine like terms: 0 + -3 = -3 2a = -3 Divide each side by '2'. a = -1.5 Simplifying a = -1.5Solution
a = {0, -1.5}
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