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Simplifying 6ab + 12ab2 + 18b = 0 Solving 6ab + 12ab2 + 18b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18b' to each side of the equation. 6ab + 12ab2 + 18b + -18b = 0 + -18b Combine like terms: 18b + -18b = 0 6ab + 12ab2 + 0 = 0 + -18b 6ab + 12ab2 = 0 + -18b Remove the zero: 6ab + 12ab2 = -18b Combine like terms: -18b + 18b = 0 6ab + 12ab2 + 18b = 0 Factor out the Greatest Common Factor (GCF), '6b'. 6b(a + 2ab + 3) = 0 Ignore the factor 6.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 '(a + 2ab + 3)' equal to zero and attempt to solve: Simplifying a + 2ab + 3 = 0 Reorder the terms: 3 + a + 2ab = 0 Solving 3 + a + 2ab = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + a + -3 + 2ab = 0 + -3 Reorder the terms: 3 + -3 + a + 2ab = 0 + -3 Combine like terms: 3 + -3 = 0 0 + a + 2ab = 0 + -3 a + 2ab = 0 + -3 Combine like terms: 0 + -3 = -3 a + 2ab = -3 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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