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Simplifying (2a + 2b)(a + b) = 0 Multiply (2a + 2b) * (a + b) (2a * (a + b) + 2b * (a + b)) = 0 ((a * 2a + b * 2a) + 2b * (a + b)) = 0 Reorder the terms: ((2ab + 2a2) + 2b * (a + b)) = 0 ((2ab + 2a2) + 2b * (a + b)) = 0 (2ab + 2a2 + (a * 2b + b * 2b)) = 0 (2ab + 2a2 + (2ab + 2b2)) = 0 Reorder the terms: (2ab + 2ab + 2a2 + 2b2) = 0 Combine like terms: 2ab + 2ab = 4ab (4ab + 2a2 + 2b2) = 0 Solving 4ab + 2a2 + 2b2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2'. 2(2ab + a2 + b2) = 0 Factor a trinomial. 2((a + b)(a + b)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(a + b)' equal to zero and attempt to solve: Simplifying a + b = 0 Solving a + b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. a + b + -1b = 0 + -1b Combine like terms: b + -1b = 0 a + 0 = 0 + -1b a = 0 + -1b Remove the zero: a = -1b Simplifying a = -1bSubproblem 2
Set the factor '(a + b)' equal to zero and attempt to solve: Simplifying a + b = 0 Solving a + b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. a + b + -1b = 0 + -1b Combine like terms: b + -1b = 0 a + 0 = 0 + -1b a = 0 + -1b Remove the zero: a = -1b Simplifying a = -1bSolution
a = {-1b, -1b}
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