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Simplifying x2 + -10x + 125 = x Reorder the terms: 125 + -10x + x2 = x Solving 125 + -10x + x2 = x Solving for variable 'x'. Reorder the terms: 125 + -10x + -1x + x2 = x + -1x Combine like terms: -10x + -1x = -11x 125 + -11x + x2 = x + -1x Combine like terms: x + -1x = 0 125 + -11x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-125' to each side of the equation. 125 + -11x + -125 + x2 = 0 + -125 Reorder the terms: 125 + -125 + -11x + x2 = 0 + -125 Combine like terms: 125 + -125 = 0 0 + -11x + x2 = 0 + -125 -11x + x2 = 0 + -125 Combine like terms: 0 + -125 = -125 -11x + x2 = -125 The x term is -11x. Take half its coefficient (-5.5). Square it (30.25) and add it to both sides. Add '30.25' to each side of the equation. -11x + 30.25 + x2 = -125 + 30.25 Reorder the terms: 30.25 + -11x + x2 = -125 + 30.25 Combine like terms: -125 + 30.25 = -94.75 30.25 + -11x + x2 = -94.75 Factor a perfect square on the left side: (x + -5.5)(x + -5.5) = -94.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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