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Simplifying a2 + -29ab + 100b2 = 0 Reorder the terms: -29ab + a2 + 100b2 = 0 Solving -29ab + a2 + 100b2 = 0 Solving for variable 'a'. Factor a trinomial. (a + -25b)(a + -4b) = 0Subproblem 1
Set the factor '(a + -25b)' equal to zero and attempt to solve: Simplifying a + -25b = 0 Solving a + -25b = 0 Move all terms containing a to the left, all other terms to the right. Add '25b' to each side of the equation. a + -25b + 25b = 0 + 25b Combine like terms: -25b + 25b = 0 a + 0 = 0 + 25b a = 0 + 25b Remove the zero: a = 25b Simplifying a = 25bSubproblem 2
Set the factor '(a + -4b)' equal to zero and attempt to solve: Simplifying a + -4b = 0 Solving a + -4b = 0 Move all terms containing a to the left, all other terms to the right. Add '4b' to each side of the equation. a + -4b + 4b = 0 + 4b Combine like terms: -4b + 4b = 0 a + 0 = 0 + 4b a = 0 + 4b Remove the zero: a = 4b Simplifying a = 4bSolution
a = {25b, 4b}
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