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Simplifying 10x2 + 11 = -13x Reorder the terms: 11 + 10x2 = -13x Solving 11 + 10x2 = -13x Solving for variable 'x'. Reorder the terms: 11 + 13x + 10x2 = -13x + 13x Combine like terms: -13x + 13x = 0 11 + 13x + 10x2 = 0 Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 1.1 + 1.3x + x2 = 0 Move the constant term to the right: Add '-1.1' to each side of the equation. 1.1 + 1.3x + -1.1 + x2 = 0 + -1.1 Reorder the terms: 1.1 + -1.1 + 1.3x + x2 = 0 + -1.1 Combine like terms: 1.1 + -1.1 = 0.0 0.0 + 1.3x + x2 = 0 + -1.1 1.3x + x2 = 0 + -1.1 Combine like terms: 0 + -1.1 = -1.1 1.3x + x2 = -1.1 The x term is 1.3x. Take half its coefficient (0.65). Square it (0.4225) and add it to both sides. Add '0.4225' to each side of the equation. 1.3x + 0.4225 + x2 = -1.1 + 0.4225 Reorder the terms: 0.4225 + 1.3x + x2 = -1.1 + 0.4225 Combine like terms: -1.1 + 0.4225 = -0.6775 0.4225 + 1.3x + x2 = -0.6775 Factor a perfect square on the left side: (x + 0.65)(x + 0.65) = -0.6775 Can't calculate square root of the right side. The solution to this equation could not be determined.
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