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Simplifying 4ab + -4a + -4b = 2ab + -3a + -4b Reorder the terms: -4a + 4ab + -4b = 2ab + -3a + -4b Reorder the terms: -4a + 4ab + -4b = -3a + 2ab + -4b Add '4b' to each side of the equation. -4a + 4ab + -4b + 4b = -3a + 2ab + -4b + 4b Combine like terms: -4b + 4b = 0 -4a + 4ab + 0 = -3a + 2ab + -4b + 4b -4a + 4ab = -3a + 2ab + -4b + 4b Combine like terms: -4b + 4b = 0 -4a + 4ab = -3a + 2ab + 0 -4a + 4ab = -3a + 2ab Solving -4a + 4ab = -3a + 2ab Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. -4a + 3a + 4ab = -3a + 3a + 2ab Combine like terms: -4a + 3a = -1a -1a + 4ab = -3a + 3a + 2ab Combine like terms: -3a + 3a = 0 -1a + 4ab = 0 + 2ab -1a + 4ab = 2ab Add '-2ab' to each side of the equation. -1a + 4ab + -2ab = 2ab + -2ab Combine like terms: 4ab + -2ab = 2ab -1a + 2ab = 2ab + -2ab Combine like terms: 2ab + -2ab = 0 -1a + 2ab = 0 Factor out the Greatest Common Factor (GCF), 'a'. a(-1 + 2b) = 0Subproblem 1
Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0Subproblem 2
Set the factor '(-1 + 2b)' equal to zero and attempt to solve: Simplifying -1 + 2b = 0 Solving -1 + 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 + 1 + 2b = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2b = 0 + 1 2b = 0 + 1 Combine like terms: 0 + 1 = 1 2b = 1 Add '-2b' to each side of the equation. 2b + -2b = 1 + -2b Combine like terms: 2b + -2b = 0 0 = 1 + -2b Simplifying 0 = 1 + -2b The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
a = {0}
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