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Simplifying 4ab3 + -14b2 + 6ab = 0 Reorder the terms: 6ab + 4ab3 + -14b2 = 0 Solving 6ab + 4ab3 + -14b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '14b2' to each side of the equation. 6ab + 4ab3 + -14b2 + 14b2 = 0 + 14b2 Combine like terms: -14b2 + 14b2 = 0 6ab + 4ab3 + 0 = 0 + 14b2 6ab + 4ab3 = 0 + 14b2 Remove the zero: 6ab + 4ab3 = 14b2 Combine like terms: 14b2 + -14b2 = 0 6ab + 4ab3 + -14b2 = 0 Factor out the Greatest Common Factor (GCF), '2b'. 2b(3a + 2ab2 + -7b) = 0 Ignore the factor 2.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 + 2ab2 + -7b)' equal to zero and attempt to solve: Simplifying 3a + 2ab2 + -7b = 0 Solving 3a + 2ab2 + -7b = 0 Move all terms containing a to the left, all other terms to the right. Add '7b' to each side of the equation. 3a + 2ab2 + -7b + 7b = 0 + 7b Combine like terms: -7b + 7b = 0 3a + 2ab2 + 0 = 0 + 7b 3a + 2ab2 = 0 + 7b Remove the zero: 3a + 2ab2 = 7b 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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