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Simplifying 2x2 + 5 = 5x + -37 Reorder the terms: 5 + 2x2 = 5x + -37 Reorder the terms: 5 + 2x2 = -37 + 5x Solving 5 + 2x2 = -37 + 5x Solving for variable 'x'. Reorder the terms: 5 + 37 + -5x + 2x2 = -37 + 5x + 37 + -5x Combine like terms: 5 + 37 = 42 42 + -5x + 2x2 = -37 + 5x + 37 + -5x Reorder the terms: 42 + -5x + 2x2 = -37 + 37 + 5x + -5x Combine like terms: -37 + 37 = 0 42 + -5x + 2x2 = 0 + 5x + -5x 42 + -5x + 2x2 = 5x + -5x Combine like terms: 5x + -5x = 0 42 + -5x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 21 + -2.5x + x2 = 0 Move the constant term to the right: Add '-21' to each side of the equation. 21 + -2.5x + -21 + x2 = 0 + -21 Reorder the terms: 21 + -21 + -2.5x + x2 = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -2.5x + x2 = 0 + -21 -2.5x + x2 = 0 + -21 Combine like terms: 0 + -21 = -21 -2.5x + x2 = -21 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 = -21 + 1.5625 Reorder the terms: 1.5625 + -2.5x + x2 = -21 + 1.5625 Combine like terms: -21 + 1.5625 = -19.4375 1.5625 + -2.5x + x2 = -19.4375 Factor a perfect square on the left side: (x + -1.25)(x + -1.25) = -19.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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