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Simplifying 4a(6a + 7) = 0 Reorder the terms: 4a(7 + 6a) = 0 (7 * 4a + 6a * 4a) = 0 (28a + 24a2) = 0 Solving 28a + 24a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4a'. 4a(7 + 6a) = 0 Ignore the factor 4.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 '(7 + 6a)' equal to zero and attempt to solve: Simplifying 7 + 6a = 0 Solving 7 + 6a = 0 Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 6a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 6a = 0 + -7 6a = 0 + -7 Combine like terms: 0 + -7 = -7 6a = -7 Divide each side by '6'. a = -1.166666667 Simplifying a = -1.166666667Solution
a = {0, -1.166666667}
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