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Simplifying 9a(-7a + 4) = 0 Reorder the terms: 9a(4 + -7a) = 0 (4 * 9a + -7a * 9a) = 0 (36a + -63a2) = 0 Solving 36a + -63a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '9a'. 9a(4 + -7a) = 0 Ignore the factor 9.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 '(4 + -7a)' equal to zero and attempt to solve: Simplifying 4 + -7a = 0 Solving 4 + -7a = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -7a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7a = 0 + -4 -7a = 0 + -4 Combine like terms: 0 + -4 = -4 -7a = -4 Divide each side by '-7'. a = 0.5714285714 Simplifying a = 0.5714285714Solution
a = {0, 0.5714285714}
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