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Simplifying -36a(a) + 18a = 0 Multiply a * a -36a2 + 18a = 0 Reorder the terms: 18a + -36a2 = 0 Solving 18a + -36a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '18a'. 18a(1 + -2a) = 0 Ignore the factor 18.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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