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