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Simplifying 10ab + 2ab2 + -9ab = 0 Reorder the terms: 10ab + -9ab + 2ab2 = 0 Combine like terms: 10ab + -9ab = 1ab 1ab + 2ab2 = 0 Solving 1ab + 2ab2 = 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), 'ab'. ab(1 + 2b) = 0Subproblem 1
Set the factor 'ab' equal to zero and attempt to solve: Simplifying ab = 0 Solving ab = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ab = 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 + 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. The solution to this equation could not be determined.
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