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Simplifying 7(x2) = 11x + -8 Reorder the terms: 7x2 = -8 + 11x Solving 7x2 = -8 + 11x Solving for variable 'x'. Reorder the terms: 8 + -11x + 7x2 = -8 + 11x + 8 + -11x Reorder the terms: 8 + -11x + 7x2 = -8 + 8 + 11x + -11x Combine like terms: -8 + 8 = 0 8 + -11x + 7x2 = 0 + 11x + -11x 8 + -11x + 7x2 = 11x + -11x Combine like terms: 11x + -11x = 0 8 + -11x + 7x2 = 0 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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