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Simplifying 256a2m4 + -16a2 = 0 Reorder the terms: -16a2 + 256a2m4 = 0 Solving -16a2 + 256a2m4 = 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), '16a2'. 16a2(-1 + 16m4) = 0 Factor a difference between two squares. 16a2((1 + 4m2)(-1 + 4m2)) = 0 Factor a difference between two squares. 16a2((1 + 4m2)((1 + 2m)(-1 + 2m))) = 0 Ignore the factor 16.Subproblem 1
Set the factor 'a2' equal to zero and attempt to solve: Simplifying a2 = 0 Solving a2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2 = 0 Take the square root of each side: a = {0}Subproblem 2
Set the factor '(1 + 4m2)' equal to zero and attempt to solve: Simplifying 1 + 4m2 = 0 Solving 1 + 4m2 = 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 + 4m2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4m2 = 0 + -1 4m2 = 0 + -1 Combine like terms: 0 + -1 = -1 4m2 = -1 Add '-4m2' to each side of the equation. 4m2 + -4m2 = -1 + -4m2 Combine like terms: 4m2 + -4m2 = 0 0 = -1 + -4m2 Simplifying 0 = -1 + -4m2 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 '(1 + 2m)' equal to zero and attempt to solve: Simplifying 1 + 2m = 0 Solving 1 + 2m = 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 + 2m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2m = 0 + -1 2m = 0 + -1 Combine like terms: 0 + -1 = -1 2m = -1 Add '-2m' to each side of the equation. 2m + -2m = -1 + -2m Combine like terms: 2m + -2m = 0 0 = -1 + -2m Simplifying 0 = -1 + -2m The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 4
Set the factor '(-1 + 2m)' equal to zero and attempt to solve: Simplifying -1 + 2m = 0 Solving -1 + 2m = 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 + 2m = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2m = 0 + 1 2m = 0 + 1 Combine like terms: 0 + 1 = 1 2m = 1 Add '-2m' to each side of the equation. 2m + -2m = 1 + -2m Combine like terms: 2m + -2m = 0 0 = 1 + -2m Simplifying 0 = 1 + -2m 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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