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Simplifying 3ab3 + -15b2 + -33ab = 0 Reorder the terms: -33ab + 3ab3 + -15b2 = 0 Solving -33ab + 3ab3 + -15b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '15b2' to each side of the equation. -33ab + 3ab3 + -15b2 + 15b2 = 0 + 15b2 Combine like terms: -15b2 + 15b2 = 0 -33ab + 3ab3 + 0 = 0 + 15b2 -33ab + 3ab3 = 0 + 15b2 Remove the zero: -33ab + 3ab3 = 15b2 Combine like terms: 15b2 + -15b2 = 0 -33ab + 3ab3 + -15b2 = 0 Factor out the Greatest Common Factor (GCF), '3b'. 3b(-11a + ab2 + -5b) = 0 Ignore the factor 3.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 '(-11a + ab2 + -5b)' equal to zero and attempt to solve: Simplifying -11a + ab2 + -5b = 0 Solving -11a + ab2 + -5b = 0 Move all terms containing a to the left, all other terms to the right. Add '5b' to each side of the equation. -11a + ab2 + -5b + 5b = 0 + 5b Combine like terms: -5b + 5b = 0 -11a + ab2 + 0 = 0 + 5b -11a + ab2 = 0 + 5b Remove the zero: -11a + ab2 = 5b 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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