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Simplifying 7a(2a + -1) = 0 Reorder the terms: 7a(-1 + 2a) = 0 (-1 * 7a + 2a * 7a) = 0 (-7a + 14a2) = 0 Solving -7a + 14a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '7a'. 7a(-1 + 2a) = 0 Ignore the factor 7.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 '(-1 + 2a)' equal to zero and attempt to solve: Simplifying -1 + 2a = 0 Solving -1 + 2a = 0 Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2a = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2a = 0 + 1 2a = 0 + 1 Combine like terms: 0 + 1 = 1 2a = 1 Divide each side by '2'. a = 0.5 Simplifying a = 0.5Solution
a = {0, 0.5}
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