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Simplifying 15a2b + 20ab + -5ab2 = 0 Reorder the terms: 20ab + -5ab2 + 15a2b = 0 Solving 20ab + -5ab2 + 15a2b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '5ab'. 5ab(4 + -1b + 3a) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'ab' equal to zero and attempt to solve: Simplifying ab = 0 Solving ab = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ab = 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 '(4 + -1b + 3a)' equal to zero and attempt to solve: Simplifying 4 + -1b + 3a = 0 Reorder the terms: 4 + 3a + -1b = 0 Solving 4 + 3a + -1b = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 3a + -4 + -1b = 0 + -4 Reorder the terms: 4 + -4 + 3a + -1b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3a + -1b = 0 + -4 3a + -1b = 0 + -4 Combine like terms: 0 + -4 = -4 3a + -1b = -4 Add 'b' to each side of the equation. 3a + -1b + b = -4 + b Combine like terms: -1b + b = 0 3a + 0 = -4 + b 3a = -4 + b Divide each side by '3'. a = -1.333333333 + 0.3333333333b Simplifying a = -1.333333333 + 0.3333333333bSolution
a = {-1.333333333 + 0.3333333333b}
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