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Simplifying x2 + -10x + 100 = 1 Reorder the terms: 100 + -10x + x2 = 1 Solving 100 + -10x + x2 = 1 Solving for variable 'x'. Reorder the terms: 100 + -1 + -10x + x2 = 1 + -1 Combine like terms: 100 + -1 = 99 99 + -10x + x2 = 1 + -1 Combine like terms: 1 + -1 = 0 99 + -10x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-99' to each side of the equation. 99 + -10x + -99 + x2 = 0 + -99 Reorder the terms: 99 + -99 + -10x + x2 = 0 + -99 Combine like terms: 99 + -99 = 0 0 + -10x + x2 = 0 + -99 -10x + x2 = 0 + -99 Combine like terms: 0 + -99 = -99 -10x + x2 = -99 The x term is -10x. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10x + 25 + x2 = -99 + 25 Reorder the terms: 25 + -10x + x2 = -99 + 25 Combine like terms: -99 + 25 = -74 25 + -10x + x2 = -74 Factor a perfect square on the left side: (x + -5)(x + -5) = -74 Can't calculate square root of the right side. The solution to this equation could not be determined.
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