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