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Simplifying 64x2 + 16bx + b2 = 0 Reorder the terms: 16bx + b2 + 64x2 = 0 Solving 16bx + b2 + 64x2 = 0 Solving for variable 'b'. Factor a trinomial. (b + 8x)(b + 8x) = 0Subproblem 1
Set the factor '(b + 8x)' equal to zero and attempt to solve: Simplifying b + 8x = 0 Solving b + 8x = 0 Move all terms containing b to the left, all other terms to the right. Add '-8x' to each side of the equation. b + 8x + -8x = 0 + -8x Combine like terms: 8x + -8x = 0 b + 0 = 0 + -8x b = 0 + -8x Remove the zero: b = -8x Simplifying b = -8xSubproblem 2
Set the factor '(b + 8x)' equal to zero and attempt to solve: Simplifying b + 8x = 0 Solving b + 8x = 0 Move all terms containing b to the left, all other terms to the right. Add '-8x' to each side of the equation. b + 8x + -8x = 0 + -8x Combine like terms: 8x + -8x = 0 b + 0 = 0 + -8x b = 0 + -8x Remove the zero: b = -8x Simplifying b = -8xSolution
b = {-8x, -8x}
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