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Simplifying 10x2 + 11x + 30.25 = 0 Reorder the terms: 30.25 + 11x + 10x2 = 0 Solving 30.25 + 11x + 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'. 3.025 + 1.1x + x2 = 0 Move the constant term to the right: Add '-3.025' to each side of the equation. 3.025 + 1.1x + -3.025 + x2 = 0 + -3.025 Reorder the terms: 3.025 + -3.025 + 1.1x + x2 = 0 + -3.025 Combine like terms: 3.025 + -3.025 = 0.000 0.000 + 1.1x + x2 = 0 + -3.025 1.1x + x2 = 0 + -3.025 Combine like terms: 0 + -3.025 = -3.025 1.1x + x2 = -3.025 The x term is 1.1x. Take half its coefficient (0.55). Square it (0.3025) and add it to both sides. Add '0.3025' to each side of the equation. 1.1x + 0.3025 + x2 = -3.025 + 0.3025 Reorder the terms: 0.3025 + 1.1x + x2 = -3.025 + 0.3025 Combine like terms: -3.025 + 0.3025 = -2.7225 0.3025 + 1.1x + x2 = -2.7225 Factor a perfect square on the left side: (x + 0.55)(x + 0.55) = -2.7225 Can't calculate square root of the right side. The solution to this equation could not be determined.
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