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Simplifying 10 = x2 + -20x + 125 Reorder the terms: 10 = 125 + -20x + x2 Solving 10 = 125 + -20x + x2 Solving for variable 'x'. Combine like terms: 10 + -125 = -115 -115 + 20x + -1x2 = 125 + -20x + x2 + -125 + 20x + -1x2 Reorder the terms: -115 + 20x + -1x2 = 125 + -125 + -20x + 20x + x2 + -1x2 Combine like terms: 125 + -125 = 0 -115 + 20x + -1x2 = 0 + -20x + 20x + x2 + -1x2 -115 + 20x + -1x2 = -20x + 20x + x2 + -1x2 Combine like terms: -20x + 20x = 0 -115 + 20x + -1x2 = 0 + x2 + -1x2 -115 + 20x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -115 + 20x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 115 + -20x + x2 = 0 Move the constant term to the right: Add '-115' to each side of the equation. 115 + -20x + -115 + x2 = 0 + -115 Reorder the terms: 115 + -115 + -20x + x2 = 0 + -115 Combine like terms: 115 + -115 = 0 0 + -20x + x2 = 0 + -115 -20x + x2 = 0 + -115 Combine like terms: 0 + -115 = -115 -20x + x2 = -115 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 = -115 + 100 Reorder the terms: 100 + -20x + x2 = -115 + 100 Combine like terms: -115 + 100 = -15 100 + -20x + x2 = -15 Factor a perfect square on the left side: (x + -10)(x + -10) = -15 Can't calculate square root of the right side. The solution to this equation could not be determined.
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