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Simplifying 10x2 + 21x + 27 = 0 Reorder the terms: 27 + 21x + 10x2 = 0 Solving 27 + 21x + 10x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 2.7 + 2.1x + x2 = 0 Move the constant term to the right: Add '-2.7' to each side of the equation. 2.7 + 2.1x + -2.7 + x2 = 0 + -2.7 Reorder the terms: 2.7 + -2.7 + 2.1x + x2 = 0 + -2.7 Combine like terms: 2.7 + -2.7 = 0.0 0.0 + 2.1x + x2 = 0 + -2.7 2.1x + x2 = 0 + -2.7 Combine like terms: 0 + -2.7 = -2.7 2.1x + x2 = -2.7 The x term is 2.1x. Take half its coefficient (1.05). Square it (1.1025) and add it to both sides. Add '1.1025' to each side of the equation. 2.1x + 1.1025 + x2 = -2.7 + 1.1025 Reorder the terms: 1.1025 + 2.1x + x2 = -2.7 + 1.1025 Combine like terms: -2.7 + 1.1025 = -1.5975 1.1025 + 2.1x + x2 = -1.5975 Factor a perfect square on the left side: (x + 1.05)(x + 1.05) = -1.5975 Can't calculate square root of the right side. The solution to this equation could not be determined.
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