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Simplifying (6a2 + 3a) + -1(4a2 + 2a) = 0 Reorder the terms: (3a + 6a2) + -1(4a2 + 2a) = 0 Remove parenthesis around (3a + 6a2) 3a + 6a2 + -1(4a2 + 2a) = 0 Reorder the terms: 3a + 6a2 + -1(2a + 4a2) = 0 3a + 6a2 + (2a * -1 + 4a2 * -1) = 0 3a + 6a2 + (-2a + -4a2) = 0 Reorder the terms: 3a + -2a + 6a2 + -4a2 = 0 Combine like terms: 3a + -2a = 1a 1a + 6a2 + -4a2 = 0 Combine like terms: 6a2 + -4a2 = 2a2 1a + 2a2 = 0 Solving 1a + 2a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(1 + 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 '(1 + 2a)' equal to zero and attempt to solve: Simplifying 1 + 2a = 0 Solving 1 + 2a = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2a = 0 + -1 2a = 0 + -1 Combine like terms: 0 + -1 = -1 2a = -1 Divide each side by '2'. a = -0.5 Simplifying a = -0.5Solution
a = {0, -0.5}
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