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Simplifying -7x2 + x = 8 Reorder the terms: x + -7x2 = 8 Solving x + -7x2 = 8 Solving for variable 'x'. Reorder the terms: -8 + x + -7x2 = 8 + -8 Combine like terms: 8 + -8 = 0 -8 + x + -7x2 = 0 Begin completing the square. Divide all terms by -7 the coefficient of the squared term: Divide each side by '-7'. 1.142857143 + -0.1428571429x + x2 = 0 Move the constant term to the right: Add '-1.142857143' to each side of the equation. 1.142857143 + -0.1428571429x + -1.142857143 + x2 = 0 + -1.142857143 Reorder the terms: 1.142857143 + -1.142857143 + -0.1428571429x + x2 = 0 + -1.142857143 Combine like terms: 1.142857143 + -1.142857143 = 0.000000000 0.000000000 + -0.1428571429x + x2 = 0 + -1.142857143 -0.1428571429x + x2 = 0 + -1.142857143 Combine like terms: 0 + -1.142857143 = -1.142857143 -0.1428571429x + x2 = -1.142857143 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -0.1428571429x + 0.25 + x2 = -1.142857143 + 0.25 Reorder the terms: 0.25 + -0.1428571429x + x2 = -1.142857143 + 0.25 Combine like terms: -1.142857143 + 0.25 = -0.892857143 0.25 + -0.1428571429x + x2 = -0.892857143 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -0.892857143 Can't calculate square root of the right side. The solution to this equation could not be determined.
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