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Simplifying -8a(7a + 2) = 0 Reorder the terms: -8a(2 + 7a) = 0 (2 * -8a + 7a * -8a) = 0 (-16a + -56a2) = 0 Solving -16a + -56a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '-8a'. -8a(2 + 7a) = 0 Ignore the factor -8.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 '(2 + 7a)' equal to zero and attempt to solve: Simplifying 2 + 7a = 0 Solving 2 + 7a = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 7a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7a = 0 + -2 7a = 0 + -2 Combine like terms: 0 + -2 = -2 7a = -2 Divide each side by '7'. a = -0.2857142857 Simplifying a = -0.2857142857Solution
a = {0, -0.2857142857}
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