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Simplifying 14x2 + 17x + 15 = 0 Reorder the terms: 15 + 17x + 14x2 = 0 Solving 15 + 17x + 14x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 14 the coefficient of the squared term: Divide each side by '14'. 1.071428571 + 1.214285714x + x2 = 0 Move the constant term to the right: Add '-1.071428571' to each side of the equation. 1.071428571 + 1.214285714x + -1.071428571 + x2 = 0 + -1.071428571 Reorder the terms: 1.071428571 + -1.071428571 + 1.214285714x + x2 = 0 + -1.071428571 Combine like terms: 1.071428571 + -1.071428571 = 0.000000000 0.000000000 + 1.214285714x + x2 = 0 + -1.071428571 1.214285714x + x2 = 0 + -1.071428571 Combine like terms: 0 + -1.071428571 = -1.071428571 1.214285714x + x2 = -1.071428571 The x term is 1.214285714x. Take half its coefficient (0.607142857). Square it (0.3686224488) and add it to both sides. Add '0.3686224488' to each side of the equation. 1.214285714x + 0.3686224488 + x2 = -1.071428571 + 0.3686224488 Reorder the terms: 0.3686224488 + 1.214285714x + x2 = -1.071428571 + 0.3686224488 Combine like terms: -1.071428571 + 0.3686224488 = -0.7028061222 0.3686224488 + 1.214285714x + x2 = -0.7028061222 Factor a perfect square on the left side: (x + 0.607142857)(x + 0.607142857) = -0.7028061222 Can't calculate square root of the right side. The solution to this equation could not be determined.
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