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Simplifying 11x2 + 36x + 32 = 0 Reorder the terms: 32 + 36x + 11x2 = 0 Solving 32 + 36x + 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'. 2.909090909 + 3.272727273x + x2 = 0 Move the constant term to the right: Add '-2.909090909' to each side of the equation. 2.909090909 + 3.272727273x + -2.909090909 + x2 = 0 + -2.909090909 Reorder the terms: 2.909090909 + -2.909090909 + 3.272727273x + x2 = 0 + -2.909090909 Combine like terms: 2.909090909 + -2.909090909 = 0.000000000 0.000000000 + 3.272727273x + x2 = 0 + -2.909090909 3.272727273x + x2 = 0 + -2.909090909 Combine like terms: 0 + -2.909090909 = -2.909090909 3.272727273x + x2 = -2.909090909 The x term is 3.272727273x. Take half its coefficient (1.636363637). Square it (2.677685953) and add it to both sides. Add '2.677685953' to each side of the equation. 3.272727273x + 2.677685953 + x2 = -2.909090909 + 2.677685953 Reorder the terms: 2.677685953 + 3.272727273x + x2 = -2.909090909 + 2.677685953 Combine like terms: -2.909090909 + 2.677685953 = -0.231404956 2.677685953 + 3.272727273x + x2 = -0.231404956 Factor a perfect square on the left side: (x + 1.636363637)(x + 1.636363637) = -0.231404956 Can't calculate square root of the right side. The solution to this equation could not be determined.
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