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Simplifying 11x2 + 12 = -2x Reorder the terms: 12 + 11x2 = -2x Solving 12 + 11x2 = -2x Solving for variable 'x'. Reorder the terms: 12 + 2x + 11x2 = -2x + 2x Combine like terms: -2x + 2x = 0 12 + 2x + 11x2 = 0 Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. 1.090909091 + 0.1818181818x + x2 = 0 Move the constant term to the right: Add '-1.090909091' to each side of the equation. 1.090909091 + 0.1818181818x + -1.090909091 + x2 = 0 + -1.090909091 Reorder the terms: 1.090909091 + -1.090909091 + 0.1818181818x + x2 = 0 + -1.090909091 Combine like terms: 1.090909091 + -1.090909091 = 0.000000000 0.000000000 + 0.1818181818x + x2 = 0 + -1.090909091 0.1818181818x + x2 = 0 + -1.090909091 Combine like terms: 0 + -1.090909091 = -1.090909091 0.1818181818x + x2 = -1.090909091 The x term is 0.1818181818x. Take half its coefficient (0.0909090909). Square it (0.008264462808) and add it to both sides. Add '0.008264462808' to each side of the equation. 0.1818181818x + 0.008264462808 + x2 = -1.090909091 + 0.008264462808 Reorder the terms: 0.008264462808 + 0.1818181818x + x2 = -1.090909091 + 0.008264462808 Combine like terms: -1.090909091 + 0.008264462808 = -1.082644628192 0.008264462808 + 0.1818181818x + x2 = -1.082644628192 Factor a perfect square on the left side: (x + 0.0909090909)(x + 0.0909090909) = -1.082644628192 Can't calculate square root of the right side. The solution to this equation could not be determined.
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