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Simplifying 5a(7a + -5) = 0 Reorder the terms: 5a(-5 + 7a) = 0 (-5 * 5a + 7a * 5a) = 0 (-25a + 35a2) = 0 Solving -25a + 35a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '5a'. 5a(-5 + 7a) = 0 Ignore the factor 5.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 '(-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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