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Simplifying 2x2 + -3bx + b2 = 0 Reorder the terms: -3bx + b2 + 2x2 = 0 Solving -3bx + b2 + 2x2 = 0 Solving for variable 'b'. Factor a trinomial. (b + -2x)(b + -1x) = 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 + -1x)' equal to zero and attempt to solve: Simplifying b + -1x = 0 Solving b + -1x = 0 Move all terms containing b to the left, all other terms to the right. Add 'x' to each side of the equation. b + -1x + x = 0 + x Combine like terms: -1x + x = 0 b + 0 = 0 + x b = 0 + x Remove the zero: b = x Simplifying b = xSolution
b = {2x, x}
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