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Simplifying 2a(a + b) + -1a(a + b) = 0 (a * 2a + b * 2a) + -1a(a + b) = 0 Reorder the terms: (2ab + 2a2) + -1a(a + b) = 0 (2ab + 2a2) + -1a(a + b) = 0 2ab + 2a2 + (a * -1a + b * -1a) = 0 Reorder the terms: 2ab + 2a2 + (-1ab + -1a2) = 0 2ab + 2a2 + (-1ab + -1a2) = 0 Reorder the terms: 2ab + -1ab + 2a2 + -1a2 = 0 Combine like terms: 2ab + -1ab = 1ab 1ab + 2a2 + -1a2 = 0 Combine like terms: 2a2 + -1a2 = 1a2 1ab + 1a2 = 0 Solving 1ab + 1a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(b + a) = 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 '(b + a)' equal to zero and attempt to solve: Simplifying b + a = 0 Reorder the terms: 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 = {0, -1b}
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