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Simplifying 5a(-3a + 13) = 0 Reorder the terms: 5a(13 + -3a) = 0 (13 * 5a + -3a * 5a) = 0 (65a + -15a2) = 0 Solving 65a + -15a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '5a'. 5a(13 + -3a) = 0 Ignore the factor 5.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 '(13 + -3a)' equal to zero and attempt to solve: Simplifying 13 + -3a = 0 Solving 13 + -3a = 0 Move all terms containing a to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -3a = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -3a = 0 + -13 -3a = 0 + -13 Combine like terms: 0 + -13 = -13 -3a = -13 Divide each side by '-3'. a = 4.333333333 Simplifying a = 4.333333333Solution
a = {0, 4.333333333}
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