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Simplifying 14a2 + -4a = 2a Reorder the terms: -4a + 14a2 = 2a Solving -4a + 14a2 = 2a Solving for variable 'a'. Reorder the terms: -4a + -2a + 14a2 = 2a + -2a Combine like terms: -4a + -2a = -6a -6a + 14a2 = 2a + -2a Combine like terms: 2a + -2a = 0 -6a + 14a2 = 0 Factor out the Greatest Common Factor (GCF), '2a'. 2a(-3 + 7a) = 0 Ignore the factor 2.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 '(-3 + 7a)' equal to zero and attempt to solve: Simplifying -3 + 7a = 0 Solving -3 + 7a = 0 Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 7a = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 7a = 0 + 3 7a = 0 + 3 Combine like terms: 0 + 3 = 3 7a = 3 Divide each side by '7'. a = 0.4285714286 Simplifying a = 0.4285714286Solution
a = {0, 0.4285714286}
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