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Simplifying 10x2 + 11x + 13 = 0 Reorder the terms: 13 + 11x + 10x2 = 0 Solving 13 + 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'. 1.3 + 1.1x + x2 = 0 Move the constant term to the right: Add '-1.3' to each side of the equation. 1.3 + 1.1x + -1.3 + x2 = 0 + -1.3 Reorder the terms: 1.3 + -1.3 + 1.1x + x2 = 0 + -1.3 Combine like terms: 1.3 + -1.3 = 0.0 0.0 + 1.1x + x2 = 0 + -1.3 1.1x + x2 = 0 + -1.3 Combine like terms: 0 + -1.3 = -1.3 1.1x + x2 = -1.3 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 = -1.3 + 0.3025 Reorder the terms: 0.3025 + 1.1x + x2 = -1.3 + 0.3025 Combine like terms: -1.3 + 0.3025 = -0.9975 0.3025 + 1.1x + x2 = -0.9975 Factor a perfect square on the left side: (x + 0.55)(x + 0.55) = -0.9975 Can't calculate square root of the right side. The solution to this equation could not be determined.
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