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Simplifying 3 + -1x(7x + -2) = 8 + -2x Reorder the terms: 3 + -1x(-2 + 7x) = 8 + -2x 3 + (-2 * -1x + 7x * -1x) = 8 + -2x 3 + (2x + -7x2) = 8 + -2x Solving 3 + 2x + -7x2 = 8 + -2x Solving for variable 'x'. Reorder the terms: 3 + -8 + 2x + 2x + -7x2 = 8 + -2x + -8 + 2x Combine like terms: 3 + -8 = -5 -5 + 2x + 2x + -7x2 = 8 + -2x + -8 + 2x Combine like terms: 2x + 2x = 4x -5 + 4x + -7x2 = 8 + -2x + -8 + 2x Reorder the terms: -5 + 4x + -7x2 = 8 + -8 + -2x + 2x Combine like terms: 8 + -8 = 0 -5 + 4x + -7x2 = 0 + -2x + 2x -5 + 4x + -7x2 = -2x + 2x Combine like terms: -2x + 2x = 0 -5 + 4x + -7x2 = 0 Begin completing the square. Divide all terms by -7 the coefficient of the squared term: Divide each side by '-7'. 0.7142857143 + -0.5714285714x + x2 = 0 Move the constant term to the right: Add '-0.7142857143' to each side of the equation. 0.7142857143 + -0.5714285714x + -0.7142857143 + x2 = 0 + -0.7142857143 Reorder the terms: 0.7142857143 + -0.7142857143 + -0.5714285714x + x2 = 0 + -0.7142857143 Combine like terms: 0.7142857143 + -0.7142857143 = 0.0000000000 0.0000000000 + -0.5714285714x + x2 = 0 + -0.7142857143 -0.5714285714x + x2 = 0 + -0.7142857143 Combine like terms: 0 + -0.7142857143 = -0.7142857143 -0.5714285714x + x2 = -0.7142857143 The x term is -0.5714285714x. Take half its coefficient (-0.2857142857). Square it (0.08163265305) and add it to both sides. Add '0.08163265305' to each side of the equation. -0.5714285714x + 0.08163265305 + x2 = -0.7142857143 + 0.08163265305 Reorder the terms: 0.08163265305 + -0.5714285714x + x2 = -0.7142857143 + 0.08163265305 Combine like terms: -0.7142857143 + 0.08163265305 = -0.63265306125 0.08163265305 + -0.5714285714x + x2 = -0.63265306125 Factor a perfect square on the left side: (x + -0.2857142857)(x + -0.2857142857) = -0.63265306125 Can't calculate square root of the right side. The solution to this equation could not be determined.
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