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Simplifying 4a2b2 + 16ab + a = 0 Reorder the terms: a + 16ab + 4a2b2 = 0 Solving a + 16ab + 4a2b2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(1 + 16b + 4ab2) = 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 + 16b + 4ab2)' equal to zero and attempt to solve: Simplifying 1 + 16b + 4ab2 = 0 Reorder the terms: 1 + 4ab2 + 16b = 0 Solving 1 + 4ab2 + 16b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 4ab2 + -1 + 16b = 0 + -1 Reorder the terms: 1 + -1 + 4ab2 + 16b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4ab2 + 16b = 0 + -1 4ab2 + 16b = 0 + -1 Combine like terms: 0 + -1 = -1 4ab2 + 16b = -1 Add '-16b' to each side of the equation. 4ab2 + 16b + -16b = -1 + -16b Combine like terms: 16b + -16b = 0 4ab2 + 0 = -1 + -16b 4ab2 = -1 + -16b Divide each side by '4b2'. a = -0.25b-2 + -4b-1 Simplifying a = -0.25b-2 + -4b-1Solution
a = {0, -0.25b-2 + -4b-1}
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