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Simplifying 7x2 + 11x + 8 = 0 Reorder the terms: 8 + 11x + 7x2 = 0 Solving 8 + 11x + 7x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 1.142857143 + 1.571428571x + x2 = 0 Move the constant term to the right: Add '-1.142857143' to each side of the equation. 1.142857143 + 1.571428571x + -1.142857143 + x2 = 0 + -1.142857143 Reorder the terms: 1.142857143 + -1.142857143 + 1.571428571x + x2 = 0 + -1.142857143 Combine like terms: 1.142857143 + -1.142857143 = 0.000000000 0.000000000 + 1.571428571x + x2 = 0 + -1.142857143 1.571428571x + x2 = 0 + -1.142857143 Combine like terms: 0 + -1.142857143 = -1.142857143 1.571428571x + x2 = -1.142857143 The x term is 1.571428571x. Take half its coefficient (0.7857142855). Square it (0.6173469384) and add it to both sides. Add '0.6173469384' to each side of the equation. 1.571428571x + 0.6173469384 + x2 = -1.142857143 + 0.6173469384 Reorder the terms: 0.6173469384 + 1.571428571x + x2 = -1.142857143 + 0.6173469384 Combine like terms: -1.142857143 + 0.6173469384 = -0.5255102046 0.6173469384 + 1.571428571x + x2 = -0.5255102046 Factor a perfect square on the left side: (x + 0.7857142855)(x + 0.7857142855) = -0.5255102046 Can't calculate square root of the right side. The solution to this equation could not be determined.
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