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Simplifying 24x2 + -47x + 27 = 0 Reorder the terms: 27 + -47x + 24x2 = 0 Solving 27 + -47x + 24x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 24 the coefficient of the squared term: Divide each side by '24'. 1.125 + -1.958333333x + x2 = 0 Move the constant term to the right: Add '-1.125' to each side of the equation. 1.125 + -1.958333333x + -1.125 + x2 = 0 + -1.125 Reorder the terms: 1.125 + -1.125 + -1.958333333x + x2 = 0 + -1.125 Combine like terms: 1.125 + -1.125 = 0.000 0.000 + -1.958333333x + x2 = 0 + -1.125 -1.958333333x + x2 = 0 + -1.125 Combine like terms: 0 + -1.125 = -1.125 -1.958333333x + x2 = -1.125 The x term is -1.958333333x. Take half its coefficient (-0.9791666665). Square it (0.9587673608) and add it to both sides. Add '0.9587673608' to each side of the equation. -1.958333333x + 0.9587673608 + x2 = -1.125 + 0.9587673608 Reorder the terms: 0.9587673608 + -1.958333333x + x2 = -1.125 + 0.9587673608 Combine like terms: -1.125 + 0.9587673608 = -0.1662326392 0.9587673608 + -1.958333333x + x2 = -0.1662326392 Factor a perfect square on the left side: (x + -0.9791666665)(x + -0.9791666665) = -0.1662326392 Can't calculate square root of the right side. The solution to this equation could not be determined.
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