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Simplifying 4x2 + -23x + 120 = 0 Reorder the terms: 120 + -23x + 4x2 = 0 Solving 120 + -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'. 30 + -5.75x + x2 = 0 Move the constant term to the right: Add '-30' to each side of the equation. 30 + -5.75x + -30 + x2 = 0 + -30 Reorder the terms: 30 + -30 + -5.75x + x2 = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -5.75x + x2 = 0 + -30 -5.75x + x2 = 0 + -30 Combine like terms: 0 + -30 = -30 -5.75x + x2 = -30 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 = -30 + 8.265625 Reorder the terms: 8.265625 + -5.75x + x2 = -30 + 8.265625 Combine like terms: -30 + 8.265625 = -21.734375 8.265625 + -5.75x + x2 = -21.734375 Factor a perfect square on the left side: (x + -2.875)(x + -2.875) = -21.734375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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