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Simplifying (18x2 + -27x + 13) = 0 Reorder the terms: (13 + -27x + 18x2) = 0 Remove parenthesis around (13 + -27x + 18x2) 13 + -27x + 18x2 = 0 Solving 13 + -27x + 18x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 18 the coefficient of the squared term: Divide each side by '18'. 0.7222222222 + -1.5x + x2 = 0 Move the constant term to the right: Add '-0.7222222222' to each side of the equation. 0.7222222222 + -1.5x + -0.7222222222 + x2 = 0 + -0.7222222222 Reorder the terms: 0.7222222222 + -0.7222222222 + -1.5x + x2 = 0 + -0.7222222222 Combine like terms: 0.7222222222 + -0.7222222222 = 0.0000000000 0.0000000000 + -1.5x + x2 = 0 + -0.7222222222 -1.5x + x2 = 0 + -0.7222222222 Combine like terms: 0 + -0.7222222222 = -0.7222222222 -1.5x + x2 = -0.7222222222 The x term is -1.5x. Take half its coefficient (-0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. -1.5x + 0.5625 + x2 = -0.7222222222 + 0.5625 Reorder the terms: 0.5625 + -1.5x + x2 = -0.7222222222 + 0.5625 Combine like terms: -0.7222222222 + 0.5625 = -0.1597222222 0.5625 + -1.5x + x2 = -0.1597222222 Factor a perfect square on the left side: (x + -0.75)(x + -0.75) = -0.1597222222 Can't calculate square root of the right side. The solution to this equation could not be determined.
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