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