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Simplifying x2 + 4bx + 4b2 = 0 Reorder the terms: 4bx + 4b2 + x2 = 0 Solving 4bx + 4b2 + x2 = 0 Solving for variable 'b'. Factor a trinomial. (2b + x)(2b + x) = 0Subproblem 1
Set the factor '(2b + x)' equal to zero and attempt to solve: Simplifying 2b + x = 0 Solving 2b + x = 0 Move all terms containing b to the left, all other terms to the right. Add '-1x' to each side of the equation. 2b + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 2b + 0 = 0 + -1x 2b = 0 + -1x Remove the zero: 2b = -1x Divide each side by '2'. b = -0.5x Simplifying b = -0.5xSubproblem 2
Set the factor '(2b + x)' equal to zero and attempt to solve: Simplifying 2b + x = 0 Solving 2b + x = 0 Move all terms containing b to the left, all other terms to the right. Add '-1x' to each side of the equation. 2b + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 2b + 0 = 0 + -1x 2b = 0 + -1x Remove the zero: 2b = -1x Divide each side by '2'. b = -0.5x Simplifying b = -0.5xSolution
b = {-0.5x, -0.5x}
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