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Simplifying 6(-3a + 12) * 8a + -13a = 0 Reorder the terms: 6(12 + -3a) * 8a + -13a = 0 Reorder the terms for easier multiplication: 6 * 8a(12 + -3a) + -13a = 0 Multiply 6 * 8 48a(12 + -3a) + -13a = 0 (12 * 48a + -3a * 48a) + -13a = 0 (576a + -144a2) + -13a = 0 Reorder the terms: 576a + -13a + -144a2 = 0 Combine like terms: 576a + -13a = 563a 563a + -144a2 = 0 Solving 563a + -144a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(563 + -144a) = 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 '(563 + -144a)' equal to zero and attempt to solve: Simplifying 563 + -144a = 0 Solving 563 + -144a = 0 Move all terms containing a to the left, all other terms to the right. Add '-563' to each side of the equation. 563 + -563 + -144a = 0 + -563 Combine like terms: 563 + -563 = 0 0 + -144a = 0 + -563 -144a = 0 + -563 Combine like terms: 0 + -563 = -563 -144a = -563 Divide each side by '-144'. a = 3.909722222 Simplifying a = 3.909722222Solution
a = {0, 3.909722222}
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