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Simplifying 16a3 + -1a = 0 Reorder the terms: -1a + 16a3 = 0 Solving -1a + 16a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(-1 + 16a2) = 0 Factor a difference between two squares. a((1 + 4a)(-1 + 4a)) = 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 '(1 + 4a)' equal to zero and attempt to solve: Simplifying 1 + 4a = 0 Solving 1 + 4a = 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 + 4a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4a = 0 + -1 4a = 0 + -1 Combine like terms: 0 + -1 = -1 4a = -1 Divide each side by '4'. a = -0.25 Simplifying a = -0.25Subproblem 3
Set the factor '(-1 + 4a)' equal to zero and attempt to solve: Simplifying -1 + 4a = 0 Solving -1 + 4a = 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 + 4a = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 4a = 0 + 1 4a = 0 + 1 Combine like terms: 0 + 1 = 1 4a = 1 Divide each side by '4'. a = 0.25 Simplifying a = 0.25Solution
a = {0, -0.25, 0.25}
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