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Simplifying 2a(25 + -1a) = 0 (25 * 2a + -1a * 2a) = 0 (50a + -2a2) = 0 Solving 50a + -2a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2a'. 2a(25 + -1a) = 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 '(25 + -1a)' equal to zero and attempt to solve: Simplifying 25 + -1a = 0 Solving 25 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -1a = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1a = 0 + -25 -1a = 0 + -25 Combine like terms: 0 + -25 = -25 -1a = -25 Divide each side by '-1'. a = 25 Simplifying a = 25Solution
a = {0, 25}
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