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Simplifying 10a3 + -2a = 0 Reorder the terms: -2a + 10a3 = 0 Solving -2a + 10a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2a'. 2a(-1 + 5a2) = 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 '(-1 + 5a2)' equal to zero and attempt to solve: Simplifying -1 + 5a2 = 0 Solving -1 + 5a2 = 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 + 5a2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 5a2 = 0 + 1 5a2 = 0 + 1 Combine like terms: 0 + 1 = 1 5a2 = 1 Divide each side by '5'. a2 = 0.2 Simplifying a2 = 0.2 Take the square root of each side: a = {-0.447213596, 0.447213596}Solution
a = {0, -0.447213596, 0.447213596}
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