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Simplifying 5a2 + 6a + 7a2 + 3a = 0 Reorder the terms: 6a + 3a + 5a2 + 7a2 = 0 Combine like terms: 6a + 3a = 9a 9a + 5a2 + 7a2 = 0 Combine like terms: 5a2 + 7a2 = 12a2 9a + 12a2 = 0 Solving 9a + 12a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3a'. 3a(3 + 4a) = 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 '(3 + 4a)' equal to zero and attempt to solve: Simplifying 3 + 4a = 0 Solving 3 + 4a = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4a = 0 + -3 4a = 0 + -3 Combine like terms: 0 + -3 = -3 4a = -3 Divide each side by '4'. a = -0.75 Simplifying a = -0.75Solution
a = {0, -0.75}
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