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Simplifying 23x2 + -23x + 66 = 0 Reorder the terms: 66 + -23x + 23x2 = 0 Solving 66 + -23x + 23x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 23 the coefficient of the squared term: Divide each side by '23'. 2.869565217 + -1x + x2 = 0 Move the constant term to the right: Add '-2.869565217' to each side of the equation. 2.869565217 + -1x + -2.869565217 + x2 = 0 + -2.869565217 Reorder the terms: 2.869565217 + -2.869565217 + -1x + x2 = 0 + -2.869565217 Combine like terms: 2.869565217 + -2.869565217 = 0.000000000 0.000000000 + -1x + x2 = 0 + -2.869565217 -1x + x2 = 0 + -2.869565217 Combine like terms: 0 + -2.869565217 = -2.869565217 -1x + x2 = -2.869565217 The x term is -1x. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1x + 0.25 + x2 = -2.869565217 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -2.869565217 + 0.25 Combine like terms: -2.869565217 + 0.25 = -2.619565217 0.25 + -1x + x2 = -2.619565217 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -2.619565217 Can't calculate square root of the right side. The solution to this equation could not be determined.
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