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Simplifying (2ab + -3a)(-5ab) = 0 Reorder the terms: (-3a + 2ab)(-5ab) = 0 Remove parenthesis around (-5ab) (-3a + 2ab) * -5ab = 0 Reorder the terms for easier multiplication: -5ab(-3a + 2ab) = 0 (-3a * -5ab + 2ab * -5ab) = 0 (15a2b + -10a2b2) = 0 Solving 15a2b + -10a2b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '5a2b'. 5a2b(3 + -2b) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'a2b' equal to zero and attempt to solve: Simplifying a2b = 0 Solving a2b = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2b = 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 '(3 + -2b)' equal to zero and attempt to solve: Simplifying 3 + -2b = 0 Solving 3 + -2b = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2b = 0 + -3 -2b = 0 + -3 Combine like terms: 0 + -3 = -3 -2b = -3 Add '2b' to each side of the equation. -2b + 2b = -3 + 2b Combine like terms: -2b + 2b = 0 0 = -3 + 2b Simplifying 0 = -3 + 2b 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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