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Simplifying x2 = x + -57 Reorder the terms: x2 = -57 + x Solving x2 = -57 + x Solving for variable 'x'. Reorder the terms: 57 + -1x + x2 = -57 + x + 57 + -1x Reorder the terms: 57 + -1x + x2 = -57 + 57 + x + -1x Combine like terms: -57 + 57 = 0 57 + -1x + x2 = 0 + x + -1x 57 + -1x + x2 = x + -1x Combine like terms: x + -1x = 0 57 + -1x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-57' to each side of the equation. 57 + -1x + -57 + x2 = 0 + -57 Reorder the terms: 57 + -57 + -1x + x2 = 0 + -57 Combine like terms: 57 + -57 = 0 0 + -1x + x2 = 0 + -57 -1x + x2 = 0 + -57 Combine like terms: 0 + -57 = -57 -1x + x2 = -57 The x term is -1x. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1x + 0.25 + x2 = -57 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -57 + 0.25 Combine like terms: -57 + 0.25 = -56.75 0.25 + -1x + x2 = -56.75 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -56.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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