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Simplifying 4a + -256a3 = 0 Solving 4a + -256a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4a'. 4a(1 + -64a2) = 0 Factor a difference between two squares. 4a((1 + 8a)(1 + -8a)) = 0 Ignore the factor 4.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 + 8a)' equal to zero and attempt to solve: Simplifying 1 + 8a = 0 Solving 1 + 8a = 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 + 8a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 8a = 0 + -1 8a = 0 + -1 Combine like terms: 0 + -1 = -1 8a = -1 Divide each side by '8'. a = -0.125 Simplifying a = -0.125Subproblem 3
Set the factor '(1 + -8a)' equal to zero and attempt to solve: Simplifying 1 + -8a = 0 Solving 1 + -8a = 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 + -8a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -8a = 0 + -1 -8a = 0 + -1 Combine like terms: 0 + -1 = -1 -8a = -1 Divide each side by '-8'. a = 0.125 Simplifying a = 0.125Solution
a = {0, -0.125, 0.125}
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