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Simplifying 7x2 + 15x + 14 = 0 Reorder the terms: 14 + 15x + 7x2 = 0 Solving 14 + 15x + 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'. 2 + 2.142857143x + x2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + 2.142857143x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + 2.142857143x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 2.142857143x + x2 = 0 + -2 2.142857143x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 2.142857143x + x2 = -2 The x term is 2.142857143x. Take half its coefficient (1.071428572). Square it (1.147959185) and add it to both sides. Add '1.147959185' to each side of the equation. 2.142857143x + 1.147959185 + x2 = -2 + 1.147959185 Reorder the terms: 1.147959185 + 2.142857143x + x2 = -2 + 1.147959185 Combine like terms: -2 + 1.147959185 = -0.852040815 1.147959185 + 2.142857143x + x2 = -0.852040815 Factor a perfect square on the left side: (x + 1.071428572)(x + 1.071428572) = -0.852040815 Can't calculate square root of the right side. The solution to this equation could not be determined.
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