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Simplifying 7x2 + -3x + 6 = 0 Reorder the terms: 6 + -3x + 7x2 = 0 Solving 6 + -3x + 7x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 0.8571428571 + -0.4285714286x + x2 = 0 Move the constant term to the right: Add '-0.8571428571' to each side of the equation. 0.8571428571 + -0.4285714286x + -0.8571428571 + x2 = 0 + -0.8571428571 Reorder the terms: 0.8571428571 + -0.8571428571 + -0.4285714286x + x2 = 0 + -0.8571428571 Combine like terms: 0.8571428571 + -0.8571428571 = 0.0000000000 0.0000000000 + -0.4285714286x + x2 = 0 + -0.8571428571 -0.4285714286x + x2 = 0 + -0.8571428571 Combine like terms: 0 + -0.8571428571 = -0.8571428571 -0.4285714286x + x2 = -0.8571428571 The x term is -0.4285714286x. Take half its coefficient (-0.2142857143). Square it (0.04591836735) and add it to both sides. Add '0.04591836735' to each side of the equation. -0.4285714286x + 0.04591836735 + x2 = -0.8571428571 + 0.04591836735 Reorder the terms: 0.04591836735 + -0.4285714286x + x2 = -0.8571428571 + 0.04591836735 Combine like terms: -0.8571428571 + 0.04591836735 = -0.81122448975 0.04591836735 + -0.4285714286x + x2 = -0.81122448975 Factor a perfect square on the left side: (x + -0.2142857143)(x + -0.2142857143) = -0.81122448975 Can't calculate square root of the right side. The solution to this equation could not be determined.
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