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Simplifying 5x2 + 11x = -9 Reorder the terms: 11x + 5x2 = -9 Solving 11x + 5x2 = -9 Solving for variable 'x'. Reorder the terms: 9 + 11x + 5x2 = -9 + 9 Combine like terms: -9 + 9 = 0 9 + 11x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 1.8 + 2.2x + x2 = 0 Move the constant term to the right: Add '-1.8' to each side of the equation. 1.8 + 2.2x + -1.8 + x2 = 0 + -1.8 Reorder the terms: 1.8 + -1.8 + 2.2x + x2 = 0 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + 2.2x + x2 = 0 + -1.8 2.2x + x2 = 0 + -1.8 Combine like terms: 0 + -1.8 = -1.8 2.2x + x2 = -1.8 The x term is 2.2x. Take half its coefficient (1.1). Square it (1.21) and add it to both sides. Add '1.21' to each side of the equation. 2.2x + 1.21 + x2 = -1.8 + 1.21 Reorder the terms: 1.21 + 2.2x + x2 = -1.8 + 1.21 Combine like terms: -1.8 + 1.21 = -0.59 1.21 + 2.2x + x2 = -0.59 Factor a perfect square on the left side: (x + 1.1)(x + 1.1) = -0.59 Can't calculate square root of the right side. The solution to this equation could not be determined.
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