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Simplifying x(10 + -1x) = 250 (10 * x + -1x * x) = 250 (10x + -1x2) = 250 Solving 10x + -1x2 = 250 Solving for variable 'x'. Reorder the terms: -250 + 10x + -1x2 = 250 + -250 Combine like terms: 250 + -250 = 0 -250 + 10x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 250 + -10x + x2 = 0 Move the constant term to the right: Add '-250' to each side of the equation. 250 + -10x + -250 + x2 = 0 + -250 Reorder the terms: 250 + -250 + -10x + x2 = 0 + -250 Combine like terms: 250 + -250 = 0 0 + -10x + x2 = 0 + -250 -10x + x2 = 0 + -250 Combine like terms: 0 + -250 = -250 -10x + x2 = -250 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 = -250 + 25 Reorder the terms: 25 + -10x + x2 = -250 + 25 Combine like terms: -250 + 25 = -225 25 + -10x + x2 = -225 Factor a perfect square on the left side: (x + -5)(x + -5) = -225 Can't calculate square root of the right side. The solution to this equation could not be determined.
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