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Simplifying 5112 = 2x + -1x2 Solving 5112 = 2x + -1x2 Solving for variable 'x'. Reorder the terms: 5112 + -2x + x2 = 2x + -2x + -1x2 + x2 Combine like terms: 2x + -2x = 0 5112 + -2x + x2 = 0 + -1x2 + x2 5112 + -2x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 5112 + -2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-5112' to each side of the equation. 5112 + -2x + -5112 + x2 = 0 + -5112 Reorder the terms: 5112 + -5112 + -2x + x2 = 0 + -5112 Combine like terms: 5112 + -5112 = 0 0 + -2x + x2 = 0 + -5112 -2x + x2 = 0 + -5112 Combine like terms: 0 + -5112 = -5112 -2x + x2 = -5112 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 = -5112 + 1 Reorder the terms: 1 + -2x + x2 = -5112 + 1 Combine like terms: -5112 + 1 = -5111 1 + -2x + x2 = -5111 Factor a perfect square on the left side: (x + -1)(x + -1) = -5111 Can't calculate square root of the right side. The solution to this equation could not be determined.
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