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Simplifying x(5 + -1x) = 25 (5 * x + -1x * x) = 25 (5x + -1x2) = 25 Solving 5x + -1x2 = 25 Solving for variable 'x'. Reorder the terms: -25 + 5x + -1x2 = 25 + -25 Combine like terms: 25 + -25 = 0 -25 + 5x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 25 + -5x + x2 = 0 Move the constant term to the right: Add '-25' to each side of the equation. 25 + -5x + -25 + x2 = 0 + -25 Reorder the terms: 25 + -25 + -5x + x2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -5x + x2 = 0 + -25 -5x + x2 = 0 + -25 Combine like terms: 0 + -25 = -25 -5x + x2 = -25 The x term is -5x. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5x + 6.25 + x2 = -25 + 6.25 Reorder the terms: 6.25 + -5x + x2 = -25 + 6.25 Combine like terms: -25 + 6.25 = -18.75 6.25 + -5x + x2 = -18.75 Factor a perfect square on the left side: (x + -2.5)(x + -2.5) = -18.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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