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Simplifying -1ab2 + -3ab + -9b2 = 0 Reorder the terms: -3ab + -1ab2 + -9b2 = 0 Solving -3ab + -1ab2 + -9b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9b2' to each side of the equation. -3ab + -1ab2 + -9b2 + 9b2 = 0 + 9b2 Combine like terms: -9b2 + 9b2 = 0 -3ab + -1ab2 + 0 = 0 + 9b2 -3ab + -1ab2 = 0 + 9b2 Remove the zero: -3ab + -1ab2 = 9b2 Combine like terms: 9b2 + -9b2 = 0 -3ab + -1ab2 + -9b2 = 0 Factor out the Greatest Common Factor (GCF), '-1b'. -1b(3a + ab + 9b) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'b' equal to zero and attempt to solve: Simplifying b = 0 Solving b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. b + -1b = 0 + -1b Remove the zero: 0 = -1b Simplifying 0 = -1b 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 '(3a + ab + 9b)' equal to zero and attempt to solve: Simplifying 3a + ab + 9b = 0 Solving 3a + ab + 9b = 0 Move all terms containing a to the left, all other terms to the right. Add '-9b' to each side of the equation. 3a + ab + 9b + -9b = 0 + -9b Combine like terms: 9b + -9b = 0 3a + ab + 0 = 0 + -9b 3a + ab = 0 + -9b Remove the zero: 3a + ab = -9b 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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