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Simplifying 11x2 + 18x + 15 = 0 Reorder the terms: 15 + 18x + 11x2 = 0 Solving 15 + 18x + 11x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. 1.363636364 + 1.636363636x + x2 = 0 Move the constant term to the right: Add '-1.363636364' to each side of the equation. 1.363636364 + 1.636363636x + -1.363636364 + x2 = 0 + -1.363636364 Reorder the terms: 1.363636364 + -1.363636364 + 1.636363636x + x2 = 0 + -1.363636364 Combine like terms: 1.363636364 + -1.363636364 = 0.000000000 0.000000000 + 1.636363636x + x2 = 0 + -1.363636364 1.636363636x + x2 = 0 + -1.363636364 Combine like terms: 0 + -1.363636364 = -1.363636364 1.636363636x + x2 = -1.363636364 The x term is 1.636363636x. Take half its coefficient (0.818181818). Square it (0.6694214873) and add it to both sides. Add '0.6694214873' to each side of the equation. 1.636363636x + 0.6694214873 + x2 = -1.363636364 + 0.6694214873 Reorder the terms: 0.6694214873 + 1.636363636x + x2 = -1.363636364 + 0.6694214873 Combine like terms: -1.363636364 + 0.6694214873 = -0.6942148767 0.6694214873 + 1.636363636x + x2 = -0.6942148767 Factor a perfect square on the left side: (x + 0.818181818)(x + 0.818181818) = -0.6942148767 Can't calculate square root of the right side. The solution to this equation could not be determined.
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