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Simplifying 4ab2 + -4abn + an2 = 0 Reorder the terms: -4abn + 4ab2 + an2 = 0 Solving -4abn + 4ab2 + an2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'a'. a(-4bn + 4b2 + n2) = 0 Factor a trinomial. a((2b + -1n)(2b + -1n)) = 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 '(2b + -1n)' equal to zero and attempt to solve: Simplifying 2b + -1n = 0 Solving 2b + -1n = 0 Move all terms containing a to the left, all other terms to the right. Add '-2b' to each side of the equation. 2b + -2b + -1n = 0 + -2b Combine like terms: 2b + -2b = 0 0 + -1n = 0 + -2b -1n = 0 + -2b Remove the zero: -1n = -2b Add 'n' to each side of the equation. -1n + n = -2b + n Combine like terms: -1n + n = 0 0 = -2b + n Simplifying 0 = -2b + n The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(2b + -1n)' equal to zero and attempt to solve: Simplifying 2b + -1n = 0 Solving 2b + -1n = 0 Move all terms containing a to the left, all other terms to the right. Add '-2b' to each side of the equation. 2b + -2b + -1n = 0 + -2b Combine like terms: 2b + -2b = 0 0 + -1n = 0 + -2b -1n = 0 + -2b Remove the zero: -1n = -2b Add 'n' to each side of the equation. -1n + n = -2b + n Combine like terms: -1n + n = 0 0 = -2b + n Simplifying 0 = -2b + n The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
a = {0}
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