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Simplifying 4a2b + -6ab + 10ab2 = 0 Reorder the terms: -6ab + 10ab2 + 4a2b = 0 Solving -6ab + 10ab2 + 4a2b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2ab'. 2ab(-3 + 5b + 2a) = 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 '(-3 + 5b + 2a)' equal to zero and attempt to solve: Simplifying -3 + 5b + 2a = 0 Reorder the terms: -3 + 2a + 5b = 0 Solving -3 + 2a + 5b = 0 Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 2a + 3 + 5b = 0 + 3 Reorder the terms: -3 + 3 + 2a + 5b = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2a + 5b = 0 + 3 2a + 5b = 0 + 3 Combine like terms: 0 + 3 = 3 2a + 5b = 3 Add '-5b' to each side of the equation. 2a + 5b + -5b = 3 + -5b Combine like terms: 5b + -5b = 0 2a + 0 = 3 + -5b 2a = 3 + -5b Divide each side by '2'. a = 1.5 + -2.5b Simplifying a = 1.5 + -2.5bSolution
a = {1.5 + -2.5b}
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