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