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Simplifying (3ab)(-2a2b3)(a + b) = 0 Remove parenthesis around (3ab) 3ab(-2a2b3)(a + b) = 0 Remove parenthesis around (-2a2b3) 3ab * -2a2b3(a + b) = 0 Reorder the terms for easier multiplication: 3 * -2ab * a2b3(a + b) = 0 Multiply 3 * -2 -6ab * a2b3(a + b) = 0 Multiply ab * a2b3 -6a3b4(a + b) = 0 (a * -6a3b4 + b * -6a3b4) = 0 Reorder the terms: (-6a3b5 + -6a4b4) = 0 (-6a3b5 + -6a4b4) = 0 Solving -6a3b5 + -6a4b4 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '-6a3b4'. -6a3b4(b + a) = 0 Ignore the factor -6.Subproblem 1
Set the factor 'a3b4' equal to zero and attempt to solve: Simplifying a3b4 = 0 Solving a3b4 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a3b4 = 0 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 '(b + a)' equal to zero and attempt to solve: Simplifying b + a = 0 Reorder the terms: a + b = 0 Solving a + b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. a + b + -1b = 0 + -1b Combine like terms: b + -1b = 0 a + 0 = 0 + -1b a = 0 + -1b Remove the zero: a = -1b Simplifying a = -1bSolution
a = {-1b}
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