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Simplifying x2 + 2bx + b2 = 0 Reorder the terms: 2bx + b2 + x2 = 0 Solving 2bx + b2 + x2 = 0 Solving for variable 'b'. Factor a trinomial. (b + x)(b + x) = 0Subproblem 1
Set the factor '(b + x)' equal to zero and attempt to solve: Simplifying b + x = 0 Solving b + x = 0 Move all terms containing b to the left, all other terms to the right. Add '-1x' to each side of the equation. b + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 b + 0 = 0 + -1x b = 0 + -1x Remove the zero: b = -1x Simplifying b = -1xSubproblem 2
Set the factor '(b + x)' equal to zero and attempt to solve: Simplifying b + x = 0 Solving b + x = 0 Move all terms containing b to the left, all other terms to the right. Add '-1x' to each side of the equation. b + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 b + 0 = 0 + -1x b = 0 + -1x Remove the zero: b = -1x Simplifying b = -1xSolution
b = {-1x, -1x}
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