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Simplifying 5a(-2) + 3a(2a + 5) = 0 Reorder the terms for easier multiplication: 5 * -2a + 3a(2a + 5) = 0 Multiply 5 * -2 -10a + 3a(2a + 5) = 0 Reorder the terms: -10a + 3a(5 + 2a) = 0 -10a + (5 * 3a + 2a * 3a) = 0 -10a + (15a + 6a2) = 0 Combine like terms: -10a + 15a = 5a 5a + 6a2 = 0 Solving 5a + 6a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(5 + 6a) = 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 '(5 + 6a)' equal to zero and attempt to solve: Simplifying 5 + 6a = 0 Solving 5 + 6a = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 6a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6a = 0 + -5 6a = 0 + -5 Combine like terms: 0 + -5 = -5 6a = -5 Divide each side by '6'. a = -0.8333333333 Simplifying a = -0.8333333333Solution
a = {0, -0.8333333333}
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