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Simplifying 14 + 54x2 + -51x = 0 Reorder the terms: 14 + -51x + 54x2 = 0 Solving 14 + -51x + 54x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 54 the coefficient of the squared term: Divide each side by '54'. 0.2592592593 + -0.9444444444x + x2 = 0 Move the constant term to the right: Add '-0.2592592593' to each side of the equation. 0.2592592593 + -0.9444444444x + -0.2592592593 + x2 = 0 + -0.2592592593 Reorder the terms: 0.2592592593 + -0.2592592593 + -0.9444444444x + x2 = 0 + -0.2592592593 Combine like terms: 0.2592592593 + -0.2592592593 = 0.0000000000 0.0000000000 + -0.9444444444x + x2 = 0 + -0.2592592593 -0.9444444444x + x2 = 0 + -0.2592592593 Combine like terms: 0 + -0.2592592593 = -0.2592592593 -0.9444444444x + x2 = -0.2592592593 The x term is -0.9444444444x. Take half its coefficient (-0.4722222222). Square it (0.2229938271) and add it to both sides. Add '0.2229938271' to each side of the equation. -0.9444444444x + 0.2229938271 + x2 = -0.2592592593 + 0.2229938271 Reorder the terms: 0.2229938271 + -0.9444444444x + x2 = -0.2592592593 + 0.2229938271 Combine like terms: -0.2592592593 + 0.2229938271 = -0.0362654322 0.2229938271 + -0.9444444444x + x2 = -0.0362654322 Factor a perfect square on the left side: (x + -0.4722222222)(x + -0.4722222222) = -0.0362654322 Can't calculate square root of the right side. The solution to this equation could not be determined.
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