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Simplifying 7x2 = 11x + -24 Reorder the terms: 7x2 = -24 + 11x Solving 7x2 = -24 + 11x Solving for variable 'x'. Reorder the terms: 24 + -11x + 7x2 = -24 + 11x + 24 + -11x Reorder the terms: 24 + -11x + 7x2 = -24 + 24 + 11x + -11x Combine like terms: -24 + 24 = 0 24 + -11x + 7x2 = 0 + 11x + -11x 24 + -11x + 7x2 = 11x + -11x Combine like terms: 11x + -11x = 0 24 + -11x + 7x2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 3.428571429 + -1.571428571x + x2 = 0 Move the constant term to the right: Add '-3.428571429' to each side of the equation. 3.428571429 + -1.571428571x + -3.428571429 + x2 = 0 + -3.428571429 Reorder the terms: 3.428571429 + -3.428571429 + -1.571428571x + x2 = 0 + -3.428571429 Combine like terms: 3.428571429 + -3.428571429 = 0.000000000 0.000000000 + -1.571428571x + x2 = 0 + -3.428571429 -1.571428571x + x2 = 0 + -3.428571429 Combine like terms: 0 + -3.428571429 = -3.428571429 -1.571428571x + x2 = -3.428571429 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 = -3.428571429 + 0.6173469384 Reorder the terms: 0.6173469384 + -1.571428571x + x2 = -3.428571429 + 0.6173469384 Combine like terms: -3.428571429 + 0.6173469384 = -2.8112244906 0.6173469384 + -1.571428571x + x2 = -2.8112244906 Factor a perfect square on the left side: (x + -0.7857142855)(x + -0.7857142855) = -2.8112244906 Can't calculate square root of the right side. The solution to this equation could not be determined.
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