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Simplifying a3 + 3a3 + -10a = 0 Reorder the terms: -10a + a3 + 3a3 = 0 Combine like terms: a3 + 3a3 = 4a3 -10a + 4a3 = 0 Solving -10a + 4a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2a'. 2a(-5 + 2a2) = 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 '(-5 + 2a2)' equal to zero and attempt to solve: Simplifying -5 + 2a2 = 0 Solving -5 + 2a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 2a2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2a2 = 0 + 5 2a2 = 0 + 5 Combine like terms: 0 + 5 = 5 2a2 = 5 Divide each side by '2'. a2 = 2.5 Simplifying a2 = 2.5 Take the square root of each side: a = {-1.58113883, 1.58113883}Solution
a = {0, -1.58113883, 1.58113883}
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