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Simplifying 11x2 + -8x + 10 = 0 Reorder the terms: 10 + -8x + 11x2 = 0 Solving 10 + -8x + 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'. 0.9090909091 + -0.7272727273x + x2 = 0 Move the constant term to the right: Add '-0.9090909091' to each side of the equation. 0.9090909091 + -0.7272727273x + -0.9090909091 + x2 = 0 + -0.9090909091 Reorder the terms: 0.9090909091 + -0.9090909091 + -0.7272727273x + x2 = 0 + -0.9090909091 Combine like terms: 0.9090909091 + -0.9090909091 = 0.0000000000 0.0000000000 + -0.7272727273x + x2 = 0 + -0.9090909091 -0.7272727273x + x2 = 0 + -0.9090909091 Combine like terms: 0 + -0.9090909091 = -0.9090909091 -0.7272727273x + x2 = -0.9090909091 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 = -0.9090909091 + 0.1322314050 Reorder the terms: 0.1322314050 + -0.7272727273x + x2 = -0.9090909091 + 0.1322314050 Combine like terms: -0.9090909091 + 0.1322314050 = -0.7768595041 0.1322314050 + -0.7272727273x + x2 = -0.7768595041 Factor a perfect square on the left side: (x + -0.3636363637)(x + -0.3636363637) = -0.7768595041 Can't calculate square root of the right side. The solution to this equation could not be determined.
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