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Simplifying -7a(8a + 9) = 0 Reorder the terms: -7a(9 + 8a) = 0 (9 * -7a + 8a * -7a) = 0 (-63a + -56a2) = 0 Solving -63a + -56a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '-7a'. -7a(9 + 8a) = 0 Ignore the factor -7.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 '(9 + 8a)' equal to zero and attempt to solve: Simplifying 9 + 8a = 0 Solving 9 + 8a = 0 Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 8a = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 8a = 0 + -9 8a = 0 + -9 Combine like terms: 0 + -9 = -9 8a = -9 Divide each side by '8'. a = -1.125 Simplifying a = -1.125Solution
a = {0, -1.125}
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