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Simplifying (12a)(12a) = -3a Remove parenthesis around (12a) 12a(12a) = -3a Remove parenthesis around (12a) 12a * 12a = -3a Reorder the terms for easier multiplication: 12 * 12a * a = -3a Multiply 12 * 12 144a * a = -3a Multiply a * a 144a2 = -3a Solving 144a2 = -3a Solving for variable 'a'. Reorder the terms: 3a + 144a2 = -3a + 3a Combine like terms: -3a + 3a = 0 3a + 144a2 = 0 Factor out the Greatest Common Factor (GCF), '3a'. 3a(1 + 48a) = 0 Ignore the factor 3.Subproblem 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 + 48a)' equal to zero and attempt to solve: Simplifying 1 + 48a = 0 Solving 1 + 48a = 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 + 48a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 48a = 0 + -1 48a = 0 + -1 Combine like terms: 0 + -1 = -1 48a = -1 Divide each side by '48'. a = -0.02083333333 Simplifying a = -0.02083333333Solution
a = {0, -0.02083333333}
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