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Simplifying 20a2b2 + -5a4b4 = 0 Solving 20a2b2 + -5a4b4 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '5a2b2'. 5a2b2(4 + -1a2b2) = 0 Factor a difference between two squares. 5a2b2((2 + ab)(2 + -1ab)) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'a2b2' equal to zero and attempt to solve: Simplifying a2b2 = 0 Solving a2b2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2b2 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(2 + ab)' equal to zero and attempt to solve: Simplifying 2 + ab = 0 Solving 2 + ab = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + ab = 0 + -2 Combine like terms: 2 + -2 = 0 0 + ab = 0 + -2 ab = 0 + -2 Combine like terms: 0 + -2 = -2 ab = -2 Divide each side by 'b'. a = -2b-1 Simplifying a = -2b-1Subproblem 3
Set the factor '(2 + -1ab)' equal to zero and attempt to solve: Simplifying 2 + -1ab = 0 Solving 2 + -1ab = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1ab = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1ab = 0 + -2 -1ab = 0 + -2 Combine like terms: 0 + -2 = -2 -1ab = -2 Divide each side by '-1b'. a = 2b-1 Simplifying a = 2b-1Solution
a = {-2b-1, 2b-1}
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