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Simplifying 7x2 + -7x + 8 = 0 Reorder the terms: 8 + -7x + 7x2 = 0 Solving 8 + -7x + 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 + -1x + x2 = 0 Move the constant term to the right: Add '-1.142857143' to each side of the equation. 1.142857143 + -1x + -1.142857143 + x2 = 0 + -1.142857143 Reorder the terms: 1.142857143 + -1.142857143 + -1x + x2 = 0 + -1.142857143 Combine like terms: 1.142857143 + -1.142857143 = 0.000000000 0.000000000 + -1x + x2 = 0 + -1.142857143 -1x + x2 = 0 + -1.142857143 Combine like terms: 0 + -1.142857143 = -1.142857143 -1x + x2 = -1.142857143 The x term is -1x. 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. -1x + 0.25 + x2 = -1.142857143 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -1.142857143 + 0.25 Combine like terms: -1.142857143 + 0.25 = -0.892857143 0.25 + -1x + 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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