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Simplifying 4x2 + 4bx + b2 = 0 Reorder the terms: 4bx + b2 + 4x2 = 0 Solving 4bx + b2 + 4x2 = 0 Solving for variable 'b'. Factor a trinomial. (b + 2x)(b + 2x) = 0Subproblem 1
Set the factor '(b + 2x)' equal to zero and attempt to solve: Simplifying b + 2x = 0 Solving b + 2x = 0 Move all terms containing b to the left, all other terms to the right. Add '-2x' to each side of the equation. b + 2x + -2x = 0 + -2x Combine like terms: 2x + -2x = 0 b + 0 = 0 + -2x b = 0 + -2x Remove the zero: b = -2x Simplifying b = -2xSubproblem 2
Set the factor '(b + 2x)' equal to zero and attempt to solve: Simplifying b + 2x = 0 Solving b + 2x = 0 Move all terms containing b to the left, all other terms to the right. Add '-2x' to each side of the equation. b + 2x + -2x = 0 + -2x Combine like terms: 2x + -2x = 0 b + 0 = 0 + -2x b = 0 + -2x Remove the zero: b = -2x Simplifying b = -2xSolution
b = {-2x, -2x}
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