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Simplifying 10a2 + 101ab + 10b2 = 0 Reorder the terms: 101ab + 10a2 + 10b2 = 0 Solving 101ab + 10a2 + 10b2 = 0 Solving for variable 'a'. Factor a trinomial. (10a + b)(a + 10b) = 0Subproblem 1
Set the factor '(10a + b)' equal to zero and attempt to solve: Simplifying 10a + b = 0 Solving 10a + b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. 10a + b + -1b = 0 + -1b Combine like terms: b + -1b = 0 10a + 0 = 0 + -1b 10a = 0 + -1b Remove the zero: 10a = -1b Divide each side by '10'. a = -0.1b Simplifying a = -0.1bSubproblem 2
Set the factor '(a + 10b)' equal to zero and attempt to solve: Simplifying a + 10b = 0 Solving a + 10b = 0 Move all terms containing a to the left, all other terms to the right. Add '-10b' to each side of the equation. a + 10b + -10b = 0 + -10b Combine like terms: 10b + -10b = 0 a + 0 = 0 + -10b a = 0 + -10b Remove the zero: a = -10b Simplifying a = -10bSolution
a = {-0.1b, -10b}
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