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Simplifying 7x2 + 6x + 8 = 2x + -8x Reorder the terms: 8 + 6x + 7x2 = 2x + -8x Combine like terms: 2x + -8x = -6x 8 + 6x + 7x2 = -6x Solving 8 + 6x + 7x2 = -6x Solving for variable 'x'. Reorder the terms: 8 + 6x + 6x + 7x2 = -6x + 6x Combine like terms: 6x + 6x = 12x 8 + 12x + 7x2 = -6x + 6x Combine like terms: -6x + 6x = 0 8 + 12x + 7x2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 1.142857143 + 1.714285714x + x2 = 0 Move the constant term to the right: Add '-1.142857143' to each side of the equation. 1.142857143 + 1.714285714x + -1.142857143 + x2 = 0 + -1.142857143 Reorder the terms: 1.142857143 + -1.142857143 + 1.714285714x + x2 = 0 + -1.142857143 Combine like terms: 1.142857143 + -1.142857143 = 0.000000000 0.000000000 + 1.714285714x + x2 = 0 + -1.142857143 1.714285714x + x2 = 0 + -1.142857143 Combine like terms: 0 + -1.142857143 = -1.142857143 1.714285714x + x2 = -1.142857143 The x term is 1.714285714x. Take half its coefficient (0.857142857). Square it (0.7346938773) and add it to both sides. Add '0.7346938773' to each side of the equation. 1.714285714x + 0.7346938773 + x2 = -1.142857143 + 0.7346938773 Reorder the terms: 0.7346938773 + 1.714285714x + x2 = -1.142857143 + 0.7346938773 Combine like terms: -1.142857143 + 0.7346938773 = -0.4081632657 0.7346938773 + 1.714285714x + x2 = -0.4081632657 Factor a perfect square on the left side: (x + 0.857142857)(x + 0.857142857) = -0.4081632657 Can't calculate square root of the right side. The solution to this equation could not be determined.
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