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Simplifying 10x2 + 22x + 57 = 0 Reorder the terms: 57 + 22x + 10x2 = 0 Solving 57 + 22x + 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'. 5.7 + 2.2x + x2 = 0 Move the constant term to the right: Add '-5.7' to each side of the equation. 5.7 + 2.2x + -5.7 + x2 = 0 + -5.7 Reorder the terms: 5.7 + -5.7 + 2.2x + x2 = 0 + -5.7 Combine like terms: 5.7 + -5.7 = 0.0 0.0 + 2.2x + x2 = 0 + -5.7 2.2x + x2 = 0 + -5.7 Combine like terms: 0 + -5.7 = -5.7 2.2x + x2 = -5.7 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 = -5.7 + 1.21 Reorder the terms: 1.21 + 2.2x + x2 = -5.7 + 1.21 Combine like terms: -5.7 + 1.21 = -4.49 1.21 + 2.2x + x2 = -4.49 Factor a perfect square on the left side: (x + 1.1)(x + 1.1) = -4.49 Can't calculate square root of the right side. The solution to this equation could not be determined.
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