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Simplifying 13x + 7x2 + 40 = 9x + 2 Reorder the terms: 40 + 13x + 7x2 = 9x + 2 Reorder the terms: 40 + 13x + 7x2 = 2 + 9x Solving 40 + 13x + 7x2 = 2 + 9x Solving for variable 'x'. Reorder the terms: 40 + -2 + 13x + -9x + 7x2 = 2 + 9x + -2 + -9x Combine like terms: 40 + -2 = 38 38 + 13x + -9x + 7x2 = 2 + 9x + -2 + -9x Combine like terms: 13x + -9x = 4x 38 + 4x + 7x2 = 2 + 9x + -2 + -9x Reorder the terms: 38 + 4x + 7x2 = 2 + -2 + 9x + -9x Combine like terms: 2 + -2 = 0 38 + 4x + 7x2 = 0 + 9x + -9x 38 + 4x + 7x2 = 9x + -9x Combine like terms: 9x + -9x = 0 38 + 4x + 7x2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 5.428571429 + 0.5714285714x + x2 = 0 Move the constant term to the right: Add '-5.428571429' to each side of the equation. 5.428571429 + 0.5714285714x + -5.428571429 + x2 = 0 + -5.428571429 Reorder the terms: 5.428571429 + -5.428571429 + 0.5714285714x + x2 = 0 + -5.428571429 Combine like terms: 5.428571429 + -5.428571429 = 0.000000000 0.000000000 + 0.5714285714x + x2 = 0 + -5.428571429 0.5714285714x + x2 = 0 + -5.428571429 Combine like terms: 0 + -5.428571429 = -5.428571429 0.5714285714x + x2 = -5.428571429 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 = -5.428571429 + 0.08163265305 Reorder the terms: 0.08163265305 + 0.5714285714x + x2 = -5.428571429 + 0.08163265305 Combine like terms: -5.428571429 + 0.08163265305 = -5.34693877595 0.08163265305 + 0.5714285714x + x2 = -5.34693877595 Factor a perfect square on the left side: (x + 0.2857142857)(x + 0.2857142857) = -5.34693877595 Can't calculate square root of the right side. The solution to this equation could not be determined.
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