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Simplifying 11x2 + -8x + 10 = 1 Reorder the terms: 10 + -8x + 11x2 = 1 Solving 10 + -8x + 11x2 = 1 Solving for variable 'x'. Reorder the terms: 10 + -1 + -8x + 11x2 = 1 + -1 Combine like terms: 10 + -1 = 9 9 + -8x + 11x2 = 1 + -1 Combine like terms: 1 + -1 = 0 9 + -8x + 11x2 = 0 Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. 0.8181818182 + -0.7272727273x + x2 = 0 Move the constant term to the right: Add '-0.8181818182' to each side of the equation. 0.8181818182 + -0.7272727273x + -0.8181818182 + x2 = 0 + -0.8181818182 Reorder the terms: 0.8181818182 + -0.8181818182 + -0.7272727273x + x2 = 0 + -0.8181818182 Combine like terms: 0.8181818182 + -0.8181818182 = 0.0000000000 0.0000000000 + -0.7272727273x + x2 = 0 + -0.8181818182 -0.7272727273x + x2 = 0 + -0.8181818182 Combine like terms: 0 + -0.8181818182 = -0.8181818182 -0.7272727273x + x2 = -0.8181818182 The x term is -0.7272727273x. Take half its coefficient (-0.3636363637). Square it (0.1322314050) and add it to both sides. Add '0.1322314050' to each side of the equation. -0.7272727273x + 0.1322314050 + x2 = -0.8181818182 + 0.1322314050 Reorder the terms: 0.1322314050 + -0.7272727273x + x2 = -0.8181818182 + 0.1322314050 Combine like terms: -0.8181818182 + 0.1322314050 = -0.6859504132 0.1322314050 + -0.7272727273x + x2 = -0.6859504132 Factor a perfect square on the left side: (x + -0.3636363637)(x + -0.3636363637) = -0.6859504132 Can't calculate square root of the right side. The solution to this equation could not be determined.
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