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Simplifying 20ab2(5ab2 + -2ab + 1) = 0 Reorder the terms: 20ab2(1 + -2ab + 5ab2) = 0 (1 * 20ab2 + -2ab * 20ab2 + 5ab2 * 20ab2) = 0 (20ab2 + -40a2b3 + 100a2b4) = 0 Solving 20ab2 + -40a2b3 + 100a2b4 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '20ab2'. 20ab2(1 + -2ab + 5ab2) = 0 Ignore the factor 20.Subproblem 1
Set the factor 'ab2' equal to zero and attempt to solve: Simplifying ab2 = 0 Solving ab2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ab2 = 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 '(1 + -2ab + 5ab2)' equal to zero and attempt to solve: Simplifying 1 + -2ab + 5ab2 = 0 Solving 1 + -2ab + 5ab2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -2ab + -1 + 5ab2 = 0 + -1 Reorder the terms: 1 + -1 + -2ab + 5ab2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2ab + 5ab2 = 0 + -1 -2ab + 5ab2 = 0 + -1 Combine like terms: 0 + -1 = -1 -2ab + 5ab2 = -1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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