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Simplifying x2 + -22x + 167 = x Reorder the terms: 167 + -22x + x2 = x Solving 167 + -22x + x2 = x Solving for variable 'x'. Reorder the terms: 167 + -22x + -1x + x2 = x + -1x Combine like terms: -22x + -1x = -23x 167 + -23x + x2 = x + -1x Combine like terms: x + -1x = 0 167 + -23x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-167' to each side of the equation. 167 + -23x + -167 + x2 = 0 + -167 Reorder the terms: 167 + -167 + -23x + x2 = 0 + -167 Combine like terms: 167 + -167 = 0 0 + -23x + x2 = 0 + -167 -23x + x2 = 0 + -167 Combine like terms: 0 + -167 = -167 -23x + x2 = -167 The x term is -23x. Take half its coefficient (-11.5). Square it (132.25) and add it to both sides. Add '132.25' to each side of the equation. -23x + 132.25 + x2 = -167 + 132.25 Reorder the terms: 132.25 + -23x + x2 = -167 + 132.25 Combine like terms: -167 + 132.25 = -34.75 132.25 + -23x + x2 = -34.75 Factor a perfect square on the left side: (x + -11.5)(x + -11.5) = -34.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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