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Simplifying 169a2 + 26ab + b2 = 0 Reorder the terms: 26ab + 169a2 + b2 = 0 Solving 26ab + 169a2 + b2 = 0 Solving for variable 'a'. Factor a trinomial. (13a + b)(13a + b) = 0Subproblem 1
Set the factor '(13a + b)' equal to zero and attempt to solve: Simplifying 13a + b = 0 Solving 13a + b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. 13a + b + -1b = 0 + -1b Combine like terms: b + -1b = 0 13a + 0 = 0 + -1b 13a = 0 + -1b Remove the zero: 13a = -1b Divide each side by '13'. a = -0.07692307692b Simplifying a = -0.07692307692bSubproblem 2
Set the factor '(13a + b)' equal to zero and attempt to solve: Simplifying 13a + b = 0 Solving 13a + b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. 13a + b + -1b = 0 + -1b Combine like terms: b + -1b = 0 13a + 0 = 0 + -1b 13a = 0 + -1b Remove the zero: 13a = -1b Divide each side by '13'. a = -0.07692307692b Simplifying a = -0.07692307692bSolution
a = {-0.07692307692b, -0.07692307692b}
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