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Simplifying 8a2b2 + -2a2 = 0 Reorder the terms: -2a2 + 8a2b2 = 0 Solving -2a2 + 8a2b2 = 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), '2a2'. 2a2(-1 + 4b2) = 0 Factor a difference between two squares. 2a2((1 + 2b)(-1 + 2b)) = 0 Ignore the factor 2.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 + 2b)' equal to zero and attempt to solve: Simplifying 1 + 2b = 0 Solving 1 + 2b = 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 + 2b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2b = 0 + -1 2b = 0 + -1 Combine like terms: 0 + -1 = -1 2b = -1 Add '-2b' to each side of the equation. 2b + -2b = -1 + -2b Combine like terms: 2b + -2b = 0 0 = -1 + -2b Simplifying 0 = -1 + -2b 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 + 2b)' equal to zero and attempt to solve: Simplifying -1 + 2b = 0 Solving -1 + 2b = 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 + 2b = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2b = 0 + 1 2b = 0 + 1 Combine like terms: 0 + 1 = 1 2b = 1 Add '-2b' to each side of the equation. 2b + -2b = 1 + -2b Combine like terms: 2b + -2b = 0 0 = 1 + -2b Simplifying 0 = 1 + -2b 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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