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Simplifying x2 + -2x + 114 = 0 Reorder the terms: 114 + -2x + x2 = 0 Solving 114 + -2x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-114' to each side of the equation. 114 + -2x + -114 + x2 = 0 + -114 Reorder the terms: 114 + -114 + -2x + x2 = 0 + -114 Combine like terms: 114 + -114 = 0 0 + -2x + x2 = 0 + -114 -2x + x2 = 0 + -114 Combine like terms: 0 + -114 = -114 -2x + x2 = -114 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 = -114 + 1 Reorder the terms: 1 + -2x + x2 = -114 + 1 Combine like terms: -114 + 1 = -113 1 + -2x + x2 = -113 Factor a perfect square on the left side: (x + -1)(x + -1) = -113 Can't calculate square root of the right side. The solution to this equation could not be determined.
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