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Simplifying 25x2 + 55x + 56 = 0 Reorder the terms: 56 + 55x + 25x2 = 0 Solving 56 + 55x + 25x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. 2.24 + 2.2x + x2 = 0 Move the constant term to the right: Add '-2.24' to each side of the equation. 2.24 + 2.2x + -2.24 + x2 = 0 + -2.24 Reorder the terms: 2.24 + -2.24 + 2.2x + x2 = 0 + -2.24 Combine like terms: 2.24 + -2.24 = 0.00 0.00 + 2.2x + x2 = 0 + -2.24 2.2x + x2 = 0 + -2.24 Combine like terms: 0 + -2.24 = -2.24 2.2x + x2 = -2.24 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 = -2.24 + 1.21 Reorder the terms: 1.21 + 2.2x + x2 = -2.24 + 1.21 Combine like terms: -2.24 + 1.21 = -1.03 1.21 + 2.2x + x2 = -1.03 Factor a perfect square on the left side: (x + 1.1)(x + 1.1) = -1.03 Can't calculate square root of the right side. The solution to this equation could not be determined.
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