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Simplifying 3ab2 + -2a2b + -4ab2 + -5ab + -4a2b = 0 Reorder the terms: -5ab + 3ab2 + -4ab2 + -2a2b + -4a2b = 0 Combine like terms: 3ab2 + -4ab2 = -1ab2 -5ab + -1ab2 + -2a2b + -4a2b = 0 Combine like terms: -2a2b + -4a2b = -6a2b -5ab + -1ab2 + -6a2b = 0 Solving -5ab + -1ab2 + -6a2b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '-1ab'. -1ab(5 + b + 6a) = 0 Ignore the factor -1.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 '(5 + b + 6a)' equal to zero and attempt to solve: Simplifying 5 + b + 6a = 0 Reorder the terms: 5 + 6a + b = 0 Solving 5 + 6a + b = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 6a + -5 + b = 0 + -5 Reorder the terms: 5 + -5 + 6a + b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6a + b = 0 + -5 6a + b = 0 + -5 Combine like terms: 0 + -5 = -5 6a + b = -5 Add '-1b' to each side of the equation. 6a + b + -1b = -5 + -1b Combine like terms: b + -1b = 0 6a + 0 = -5 + -1b 6a = -5 + -1b Divide each side by '6'. a = -0.8333333333 + -0.1666666667b Simplifying a = -0.8333333333 + -0.1666666667bSolution
a = {-0.8333333333 + -0.1666666667b}
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