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Simplifying x2 + -23x + 204 = 0 Reorder the terms: 204 + -23x + x2 = 0 Solving 204 + -23x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-204' to each side of the equation. 204 + -23x + -204 + x2 = 0 + -204 Reorder the terms: 204 + -204 + -23x + x2 = 0 + -204 Combine like terms: 204 + -204 = 0 0 + -23x + x2 = 0 + -204 -23x + x2 = 0 + -204 Combine like terms: 0 + -204 = -204 -23x + x2 = -204 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 = -204 + 132.25 Reorder the terms: 132.25 + -23x + x2 = -204 + 132.25 Combine like terms: -204 + 132.25 = -71.75 132.25 + -23x + x2 = -71.75 Factor a perfect square on the left side: (x + -11.5)(x + -11.5) = -71.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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