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Simplifying -3ab(ab + -2a2b + 5a) = 0 Reorder the terms: -3ab(5a + ab + -2a2b) = 0 (5a * -3ab + ab * -3ab + -2a2b * -3ab) = 0 (-15a2b + -3a2b2 + 6a3b2) = 0 Solving -15a2b + -3a2b2 + 6a3b2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3a2b'. 3a2b(-5 + -1b + 2ab) = 0 Ignore the factor 3.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 '(-5 + -1b + 2ab)' equal to zero and attempt to solve: Simplifying -5 + -1b + 2ab = 0 Reorder the terms: -5 + 2ab + -1b = 0 Solving -5 + 2ab + -1b = 0 Move all terms containing a to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 2ab + 5 + -1b = 0 + 5 Reorder the terms: -5 + 5 + 2ab + -1b = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2ab + -1b = 0 + 5 2ab + -1b = 0 + 5 Combine like terms: 0 + 5 = 5 2ab + -1b = 5 Add 'b' to each side of the equation. 2ab + -1b + b = 5 + b Combine like terms: -1b + b = 0 2ab + 0 = 5 + b 2ab = 5 + b Divide each side by '2b'. a = 2.5b-1 + 0.5 Simplifying a = 2.5b-1 + 0.5 Reorder the terms: a = 0.5 + 2.5b-1Solution
a = {0.5 + 2.5b-1}
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