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Simplifying x = 7x2 + -6x + 5 Reorder the terms: x = 5 + -6x + 7x2 Solving x = 5 + -6x + 7x2 Solving for variable 'x'. Reorder the terms: -5 + x + 6x + -7x2 = 5 + -6x + 7x2 + -5 + 6x + -7x2 Combine like terms: x + 6x = 7x -5 + 7x + -7x2 = 5 + -6x + 7x2 + -5 + 6x + -7x2 Reorder the terms: -5 + 7x + -7x2 = 5 + -5 + -6x + 6x + 7x2 + -7x2 Combine like terms: 5 + -5 = 0 -5 + 7x + -7x2 = 0 + -6x + 6x + 7x2 + -7x2 -5 + 7x + -7x2 = -6x + 6x + 7x2 + -7x2 Combine like terms: -6x + 6x = 0 -5 + 7x + -7x2 = 0 + 7x2 + -7x2 -5 + 7x + -7x2 = 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 -5 + 7x + -7x2 = 0 Begin completing the square. Divide all terms by -7 the coefficient of the squared term: Divide each side by '-7'. 0.7142857143 + -1x + x2 = 0 Move the constant term to the right: Add '-0.7142857143' to each side of the equation. 0.7142857143 + -1x + -0.7142857143 + x2 = 0 + -0.7142857143 Reorder the terms: 0.7142857143 + -0.7142857143 + -1x + x2 = 0 + -0.7142857143 Combine like terms: 0.7142857143 + -0.7142857143 = 0.0000000000 0.0000000000 + -1x + x2 = 0 + -0.7142857143 -1x + x2 = 0 + -0.7142857143 Combine like terms: 0 + -0.7142857143 = -0.7142857143 -1x + x2 = -0.7142857143 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 = -0.7142857143 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -0.7142857143 + 0.25 Combine like terms: -0.7142857143 + 0.25 = -0.4642857143 0.25 + -1x + x2 = -0.4642857143 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -0.4642857143 Can't calculate square root of the right side. The solution to this equation could not be determined.
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