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Simplifying x2 + -20x = -125 Reorder the terms: -20x + x2 = -125 Solving -20x + x2 = -125 Solving for variable 'x'. Reorder the terms: 125 + -20x + x2 = -125 + 125 Combine like terms: -125 + 125 = 0 125 + -20x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-125' to each side of the equation. 125 + -20x + -125 + x2 = 0 + -125 Reorder the terms: 125 + -125 + -20x + x2 = 0 + -125 Combine like terms: 125 + -125 = 0 0 + -20x + x2 = 0 + -125 -20x + x2 = 0 + -125 Combine like terms: 0 + -125 = -125 -20x + x2 = -125 The x term is -20x. Take half its coefficient (-10). Square it (100) and add it to both sides. Add '100' to each side of the equation. -20x + 100 + x2 = -125 + 100 Reorder the terms: 100 + -20x + x2 = -125 + 100 Combine like terms: -125 + 100 = -25 100 + -20x + x2 = -25 Factor a perfect square on the left side: (x + -10)(x + -10) = -25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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