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Simplifying 10a2 + -20ab + 10b2 = 0 Reorder the terms: -20ab + 10a2 + 10b2 = 0 Solving -20ab + 10a2 + 10b2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '10'. 10(-2ab + a2 + b2) = 0 Factor a trinomial. 10((a + -1b)(a + -1b)) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(a + -1b)' equal to zero and attempt to solve: Simplifying a + -1b = 0 Solving a + -1b = 0 Move all terms containing a to the left, all other terms to the right. Add 'b' to each side of the equation. a + -1b + b = 0 + b Combine like terms: -1b + b = 0 a + 0 = 0 + b a = 0 + b Remove the zero: a = b Simplifying a = bSubproblem 2
Set the factor '(a + -1b)' equal to zero and attempt to solve: Simplifying a + -1b = 0 Solving a + -1b = 0 Move all terms containing a to the left, all other terms to the right. Add 'b' to each side of the equation. a + -1b + b = 0 + b Combine like terms: -1b + b = 0 a + 0 = 0 + b a = 0 + b Remove the zero: a = b Simplifying a = bSolution
a = {b, b}
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