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Simplifying x2 + -2x + 12 = 5 + 2 Reorder the terms: 12 + -2x + x2 = 5 + 2 Combine like terms: 5 + 2 = 7 12 + -2x + x2 = 7 Solving 12 + -2x + x2 = 7 Solving for variable 'x'. Reorder the terms: 12 + -7 + -2x + x2 = 7 + -7 Combine like terms: 12 + -7 = 5 5 + -2x + x2 = 7 + -7 Combine like terms: 7 + -7 = 0 5 + -2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-5' to each side of the equation. 5 + -2x + -5 + x2 = 0 + -5 Reorder the terms: 5 + -5 + -2x + x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x + x2 = 0 + -5 -2x + x2 = 0 + -5 Combine like terms: 0 + -5 = -5 -2x + x2 = -5 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 = -5 + 1 Reorder the terms: 1 + -2x + x2 = -5 + 1 Combine like terms: -5 + 1 = -4 1 + -2x + x2 = -4 Factor a perfect square on the left side: (x + -1)(x + -1) = -4 Can't calculate square root of the right side. The solution to this equation could not be determined.
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