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Simplifying 26x2 + -5x + 27 = 0 Reorder the terms: 27 + -5x + 26x2 = 0 Solving 27 + -5x + 26x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 26 the coefficient of the squared term: Divide each side by '26'. 1.038461538 + -0.1923076923x + x2 = 0 Move the constant term to the right: Add '-1.038461538' to each side of the equation. 1.038461538 + -0.1923076923x + -1.038461538 + x2 = 0 + -1.038461538 Reorder the terms: 1.038461538 + -1.038461538 + -0.1923076923x + x2 = 0 + -1.038461538 Combine like terms: 1.038461538 + -1.038461538 = 0.000000000 0.000000000 + -0.1923076923x + x2 = 0 + -1.038461538 -0.1923076923x + x2 = 0 + -1.038461538 Combine like terms: 0 + -1.038461538 = -1.038461538 -0.1923076923x + x2 = -1.038461538 The x term is -0.1923076923x. Take half its coefficient (-0.09615384615). Square it (0.009245562129) and add it to both sides. Add '0.009245562129' to each side of the equation. -0.1923076923x + 0.009245562129 + x2 = -1.038461538 + 0.009245562129 Reorder the terms: 0.009245562129 + -0.1923076923x + x2 = -1.038461538 + 0.009245562129 Combine like terms: -1.038461538 + 0.009245562129 = -1.029215975871 0.009245562129 + -0.1923076923x + x2 = -1.029215975871 Factor a perfect square on the left side: (x + -0.09615384615)(x + -0.09615384615) = -1.029215975871 Can't calculate square root of the right side. The solution to this equation could not be determined.
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