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Simplifying 0 = 40a2 + 56a Reorder the terms: 0 = 56a + 40a2 Solving 0 = 56a + 40a2 Solving for variable 'a'. Remove the zero: -56a + -40a2 = 56a + 40a2 + -56a + -40a2 Reorder the terms: -56a + -40a2 = 56a + -56a + 40a2 + -40a2 Combine like terms: 56a + -56a = 0 -56a + -40a2 = 0 + 40a2 + -40a2 -56a + -40a2 = 40a2 + -40a2 Combine like terms: 40a2 + -40a2 = 0 -56a + -40a2 = 0 Factor out the Greatest Common Factor (GCF), '-8a'. -8a(7 + 5a) = 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 '(7 + 5a)' equal to zero and attempt to solve: Simplifying 7 + 5a = 0 Solving 7 + 5a = 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 + 5a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5a = 0 + -7 5a = 0 + -7 Combine like terms: 0 + -7 = -7 5a = -7 Divide each side by '5'. a = -1.4 Simplifying a = -1.4Solution
a = {0, -1.4}
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