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Simplifying 7x2 + 6x + 3(x + 2) = 0 Reorder the terms: 7x2 + 6x + 3(2 + x) = 0 7x2 + 6x + (2 * 3 + x * 3) = 0 7x2 + 6x + (6 + 3x) = 0 Reorder the terms: 6 + 6x + 3x + 7x2 = 0 Combine like terms: 6x + 3x = 9x 6 + 9x + 7x2 = 0 Solving 6 + 9x + 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 + 1.285714286x + x2 = 0 Move the constant term to the right: Add '-0.8571428571' to each side of the equation. 0.8571428571 + 1.285714286x + -0.8571428571 + x2 = 0 + -0.8571428571 Reorder the terms: 0.8571428571 + -0.8571428571 + 1.285714286x + x2 = 0 + -0.8571428571 Combine like terms: 0.8571428571 + -0.8571428571 = 0.0000000000 0.0000000000 + 1.285714286x + x2 = 0 + -0.8571428571 1.285714286x + x2 = 0 + -0.8571428571 Combine like terms: 0 + -0.8571428571 = -0.8571428571 1.285714286x + x2 = -0.8571428571 The x term is 1.285714286x. Take half its coefficient (0.642857143). Square it (0.4132653063) and add it to both sides. Add '0.4132653063' to each side of the equation. 1.285714286x + 0.4132653063 + x2 = -0.8571428571 + 0.4132653063 Reorder the terms: 0.4132653063 + 1.285714286x + x2 = -0.8571428571 + 0.4132653063 Combine like terms: -0.8571428571 + 0.4132653063 = -0.4438775508 0.4132653063 + 1.285714286x + x2 = -0.4438775508 Factor a perfect square on the left side: (x + 0.642857143)(x + 0.642857143) = -0.4438775508 Can't calculate square root of the right side. The solution to this equation could not be determined.
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