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Simplifying -5a3 + 13a = 0 Reorder the terms: 13a + -5a3 = 0 Solving 13a + -5a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(13 + -5a2) = 0Subproblem 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 + -5a2)' equal to zero and attempt to solve: Simplifying 13 + -5a2 = 0 Solving 13 + -5a2 = 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 + -5a2 = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -5a2 = 0 + -13 -5a2 = 0 + -13 Combine like terms: 0 + -13 = -13 -5a2 = -13 Divide each side by '-5'. a2 = 2.6 Simplifying a2 = 2.6 Take the square root of each side: a = {-1.61245155, 1.61245155}Solution
a = {0, -1.61245155, 1.61245155}
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