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Simplifying -7x2 + 4x = 10 Reorder the terms: 4x + -7x2 = 10 Solving 4x + -7x2 = 10 Solving for variable 'x'. Reorder the terms: -10 + 4x + -7x2 = 10 + -10 Combine like terms: 10 + -10 = 0 -10 + 4x + -7x2 = 0 Begin completing the square. Divide all terms by -7 the coefficient of the squared term: Divide each side by '-7'. 1.428571429 + -0.5714285714x + x2 = 0 Move the constant term to the right: Add '-1.428571429' to each side of the equation. 1.428571429 + -0.5714285714x + -1.428571429 + x2 = 0 + -1.428571429 Reorder the terms: 1.428571429 + -1.428571429 + -0.5714285714x + x2 = 0 + -1.428571429 Combine like terms: 1.428571429 + -1.428571429 = 0.000000000 0.000000000 + -0.5714285714x + x2 = 0 + -1.428571429 -0.5714285714x + x2 = 0 + -1.428571429 Combine like terms: 0 + -1.428571429 = -1.428571429 -0.5714285714x + x2 = -1.428571429 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 = -1.428571429 + 0.08163265305 Reorder the terms: 0.08163265305 + -0.5714285714x + x2 = -1.428571429 + 0.08163265305 Combine like terms: -1.428571429 + 0.08163265305 = -1.34693877595 0.08163265305 + -0.5714285714x + x2 = -1.34693877595 Factor a perfect square on the left side: (x + -0.2857142857)(x + -0.2857142857) = -1.34693877595 Can't calculate square root of the right side. The solution to this equation could not be determined.
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