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Simplifying 2x2 + 5x + 22 = 5 Reorder the terms: 22 + 5x + 2x2 = 5 Solving 22 + 5x + 2x2 = 5 Solving for variable 'x'. Reorder the terms: 22 + -5 + 5x + 2x2 = 5 + -5 Combine like terms: 22 + -5 = 17 17 + 5x + 2x2 = 5 + -5 Combine like terms: 5 + -5 = 0 17 + 5x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 8.5 + 2.5x + x2 = 0 Move the constant term to the right: Add '-8.5' to each side of the equation. 8.5 + 2.5x + -8.5 + x2 = 0 + -8.5 Reorder the terms: 8.5 + -8.5 + 2.5x + x2 = 0 + -8.5 Combine like terms: 8.5 + -8.5 = 0.0 0.0 + 2.5x + x2 = 0 + -8.5 2.5x + x2 = 0 + -8.5 Combine like terms: 0 + -8.5 = -8.5 2.5x + x2 = -8.5 The x term is 2.5x. Take half its coefficient (1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. 2.5x + 1.5625 + x2 = -8.5 + 1.5625 Reorder the terms: 1.5625 + 2.5x + x2 = -8.5 + 1.5625 Combine like terms: -8.5 + 1.5625 = -6.9375 1.5625 + 2.5x + x2 = -6.9375 Factor a perfect square on the left side: (x + 1.25)(x + 1.25) = -6.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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