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Simplifying 12a(-7a + 3) + 11a2 = 0 Reorder the terms: 12a(3 + -7a) + 11a2 = 0 (3 * 12a + -7a * 12a) + 11a2 = 0 (36a + -84a2) + 11a2 = 0 Combine like terms: -84a2 + 11a2 = -73a2 36a + -73a2 = 0 Solving 36a + -73a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(36 + -73a) = 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 '(36 + -73a)' equal to zero and attempt to solve: Simplifying 36 + -73a = 0 Solving 36 + -73a = 0 Move all terms containing a to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -73a = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -73a = 0 + -36 -73a = 0 + -36 Combine like terms: 0 + -36 = -36 -73a = -36 Divide each side by '-73'. a = 0.4931506849 Simplifying a = 0.4931506849Solution
a = {0, 0.4931506849}
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