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Simplifying 10a5b7 + 5ab3 + -40ab7 = 0 Reorder the terms: 5ab3 + -40ab7 + 10a5b7 = 0 Solving 5ab3 + -40ab7 + 10a5b7 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '5ab3'. 5ab3(1 + -8b4 + 2a4b4) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'ab3' equal to zero and attempt to solve: Simplifying ab3 = 0 Solving ab3 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ab3 = 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 + -8b4 + 2a4b4)' equal to zero and attempt to solve: Simplifying 1 + -8b4 + 2a4b4 = 0 Reorder the terms: 1 + 2a4b4 + -8b4 = 0 Solving 1 + 2a4b4 + -8b4 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 2a4b4 + -1 + -8b4 = 0 + -1 Reorder the terms: 1 + -1 + 2a4b4 + -8b4 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2a4b4 + -8b4 = 0 + -1 2a4b4 + -8b4 = 0 + -1 Combine like terms: 0 + -1 = -1 2a4b4 + -8b4 = -1 Add '8b4' to each side of the equation. 2a4b4 + -8b4 + 8b4 = -1 + 8b4 Combine like terms: -8b4 + 8b4 = 0 2a4b4 + 0 = -1 + 8b4 2a4b4 = -1 + 8b4 Divide each side by '2b4'. a4 = -0.5b-4 + 4 Simplifying a4 = -0.5b-4 + 4 Reorder the terms: a4 = 4 + -0.5b-4 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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