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Simplifying 35a2 + -15a = 5a Reorder the terms: -15a + 35a2 = 5a Solving -15a + 35a2 = 5a Solving for variable 'a'. Reorder the terms: -15a + -5a + 35a2 = 5a + -5a Combine like terms: -15a + -5a = -20a -20a + 35a2 = 5a + -5a Combine like terms: 5a + -5a = 0 -20a + 35a2 = 0 Factor out the Greatest Common Factor (GCF), '5a'. 5a(-4 + 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 '(-4 + 7a)' equal to zero and attempt to solve: Simplifying -4 + 7a = 0 Solving -4 + 7a = 0 Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 7a = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 7a = 0 + 4 7a = 0 + 4 Combine like terms: 0 + 4 = 4 7a = 4 Divide each side by '7'. a = 0.5714285714 Simplifying a = 0.5714285714Solution
a = {0, 0.5714285714}
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