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Simplifying 7x2 + 16x + 11 = 0 Reorder the terms: 11 + 16x + 7x2 = 0 Solving 11 + 16x + 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'. 1.571428571 + 2.285714286x + x2 = 0 Move the constant term to the right: Add '-1.571428571' to each side of the equation. 1.571428571 + 2.285714286x + -1.571428571 + x2 = 0 + -1.571428571 Reorder the terms: 1.571428571 + -1.571428571 + 2.285714286x + x2 = 0 + -1.571428571 Combine like terms: 1.571428571 + -1.571428571 = 0.000000000 0.000000000 + 2.285714286x + x2 = 0 + -1.571428571 2.285714286x + x2 = 0 + -1.571428571 Combine like terms: 0 + -1.571428571 = -1.571428571 2.285714286x + x2 = -1.571428571 The x term is 2.285714286x. Take half its coefficient (1.142857143). Square it (1.306122449) and add it to both sides. Add '1.306122449' to each side of the equation. 2.285714286x + 1.306122449 + x2 = -1.571428571 + 1.306122449 Reorder the terms: 1.306122449 + 2.285714286x + x2 = -1.571428571 + 1.306122449 Combine like terms: -1.571428571 + 1.306122449 = -0.265306122 1.306122449 + 2.285714286x + x2 = -0.265306122 Factor a perfect square on the left side: (x + 1.142857143)(x + 1.142857143) = -0.265306122 Can't calculate square root of the right side. The solution to this equation could not be determined.
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