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Simplifying 4ab2 + -3a2b + 2ab + -3a2b = 0 Reorder the terms: 2ab + 4ab2 + -3a2b + -3a2b = 0 Combine like terms: -3a2b + -3a2b = -6a2b 2ab + 4ab2 + -6a2b = 0 Solving 2ab + 4ab2 + -6a2b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2ab'. 2ab(1 + 2b + -3a) = 0 Ignore the factor 2.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 '(1 + 2b + -3a)' equal to zero and attempt to solve: Simplifying 1 + 2b + -3a = 0 Reorder the terms: 1 + -3a + 2b = 0 Solving 1 + -3a + 2b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -3a + -1 + 2b = 0 + -1 Reorder the terms: 1 + -1 + -3a + 2b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3a + 2b = 0 + -1 -3a + 2b = 0 + -1 Combine like terms: 0 + -1 = -1 -3a + 2b = -1 Add '-2b' to each side of the equation. -3a + 2b + -2b = -1 + -2b Combine like terms: 2b + -2b = 0 -3a + 0 = -1 + -2b -3a = -1 + -2b Divide each side by '-3'. a = 0.3333333333 + 0.6666666667b Simplifying a = 0.3333333333 + 0.6666666667bSolution
a = {0.3333333333 + 0.6666666667b}
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