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Simplifying 7a2 = -5a Solving 7a2 = -5a Solving for variable 'a'. Reorder the terms: 5a + 7a2 = -5a + 5a Combine like terms: -5a + 5a = 0 5a + 7a2 = 0 Factor out the Greatest Common Factor (GCF), 'a'. a(5 + 7a) = 0Subproblem 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 '(5 + 7a)' equal to zero and attempt to solve: Simplifying 5 + 7a = 0 Solving 5 + 7a = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 7a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 7a = 0 + -5 7a = 0 + -5 Combine like terms: 0 + -5 = -5 7a = -5 Divide each side by '7'. a = -0.7142857143 Simplifying a = -0.7142857143Solution
a = {0, -0.7142857143}
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