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Simplifying 2(ab + 3b)(a + -4b) = 0 Multiply (ab + 3b) * (a + -4b) 2(ab(a + -4b) + 3b * (a + -4b)) = 0 2((a * ab + -4b * ab) + 3b * (a + -4b)) = 0 Reorder the terms: 2((-4ab2 + a2b) + 3b * (a + -4b)) = 0 2((-4ab2 + a2b) + 3b * (a + -4b)) = 0 2(-4ab2 + a2b + (a * 3b + -4b * 3b)) = 0 2(-4ab2 + a2b + (3ab + -12b2)) = 0 Reorder the terms: 2(3ab + -4ab2 + a2b + -12b2) = 0 2(3ab + -4ab2 + a2b + -12b2) = 0 (3ab * 2 + -4ab2 * 2 + a2b * 2 + -12b2 * 2) = 0 (6ab + -8ab2 + 2a2b + -24b2) = 0 Solving 6ab + -8ab2 + 2a2b + -24b2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2b'. 2b(3a + -4ab + a2 + -12b) = 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 + -4ab + a2 + -12b)' equal to zero and attempt to solve: Simplifying 3a + -4ab + a2 + -12b = 0 Solving 3a + -4ab + a2 + -12b = 0 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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