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Simplifying x2 + -10 + 37 = 2x + 5 Reorder the terms: -10 + 37 + x2 = 2x + 5 Combine like terms: -10 + 37 = 27 27 + x2 = 2x + 5 Reorder the terms: 27 + x2 = 5 + 2x Solving 27 + x2 = 5 + 2x Solving for variable 'x'. Reorder the terms: 27 + -5 + -2x + x2 = 5 + 2x + -5 + -2x Combine like terms: 27 + -5 = 22 22 + -2x + x2 = 5 + 2x + -5 + -2x Reorder the terms: 22 + -2x + x2 = 5 + -5 + 2x + -2x Combine like terms: 5 + -5 = 0 22 + -2x + x2 = 0 + 2x + -2x 22 + -2x + x2 = 2x + -2x Combine like terms: 2x + -2x = 0 22 + -2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-22' to each side of the equation. 22 + -2x + -22 + x2 = 0 + -22 Reorder the terms: 22 + -22 + -2x + x2 = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -2x + x2 = 0 + -22 -2x + x2 = 0 + -22 Combine like terms: 0 + -22 = -22 -2x + x2 = -22 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = -22 + 1 Reorder the terms: 1 + -2x + x2 = -22 + 1 Combine like terms: -22 + 1 = -21 1 + -2x + x2 = -21 Factor a perfect square on the left side: (x + -1)(x + -1) = -21 Can't calculate square root of the right side. The solution to this equation could not be determined.
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