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Simplifying 4x2 + -23x + 46 = 0 Reorder the terms: 46 + -23x + 4x2 = 0 Solving 46 + -23x + 4x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 11.5 + -5.75x + x2 = 0 Move the constant term to the right: Add '-11.5' to each side of the equation. 11.5 + -5.75x + -11.5 + x2 = 0 + -11.5 Reorder the terms: 11.5 + -11.5 + -5.75x + x2 = 0 + -11.5 Combine like terms: 11.5 + -11.5 = 0.0 0.0 + -5.75x + x2 = 0 + -11.5 -5.75x + x2 = 0 + -11.5 Combine like terms: 0 + -11.5 = -11.5 -5.75x + x2 = -11.5 The x term is -5.75x. Take half its coefficient (-2.875). Square it (8.265625) and add it to both sides. Add '8.265625' to each side of the equation. -5.75x + 8.265625 + x2 = -11.5 + 8.265625 Reorder the terms: 8.265625 + -5.75x + x2 = -11.5 + 8.265625 Combine like terms: -11.5 + 8.265625 = -3.234375 8.265625 + -5.75x + x2 = -3.234375 Factor a perfect square on the left side: (x + -2.875)(x + -2.875) = -3.234375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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