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Simplifying 2a(7a + -2) = 0 Reorder the terms: 2a(-2 + 7a) = 0 (-2 * 2a + 7a * 2a) = 0 (-4a + 14a2) = 0 Solving -4a + 14a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2a'. 2a(-2 + 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 '(-2 + 7a)' equal to zero and attempt to solve: Simplifying -2 + 7a = 0 Solving -2 + 7a = 0 Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 7a = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 7a = 0 + 2 7a = 0 + 2 Combine like terms: 0 + 2 = 2 7a = 2 Divide each side by '7'. a = 0.2857142857 Simplifying a = 0.2857142857Solution
a = {0, 0.2857142857}
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