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Simplifying 5x2 + -23x + 114 = 0 Reorder the terms: 114 + -23x + 5x2 = 0 Solving 114 + -23x + 5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 22.8 + -4.6x + x2 = 0 Move the constant term to the right: Add '-22.8' to each side of the equation. 22.8 + -4.6x + -22.8 + x2 = 0 + -22.8 Reorder the terms: 22.8 + -22.8 + -4.6x + x2 = 0 + -22.8 Combine like terms: 22.8 + -22.8 = 0.0 0.0 + -4.6x + x2 = 0 + -22.8 -4.6x + x2 = 0 + -22.8 Combine like terms: 0 + -22.8 = -22.8 -4.6x + x2 = -22.8 The x term is -4.6x. Take half its coefficient (-2.3). Square it (5.29) and add it to both sides. Add '5.29' to each side of the equation. -4.6x + 5.29 + x2 = -22.8 + 5.29 Reorder the terms: 5.29 + -4.6x + x2 = -22.8 + 5.29 Combine like terms: -22.8 + 5.29 = -17.51 5.29 + -4.6x + x2 = -17.51 Factor a perfect square on the left side: (x + -2.3)(x + -2.3) = -17.51 Can't calculate square root of the right side. The solution to this equation could not be determined.
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