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Simplifying 25 = -2x2 + 10x Reorder the terms: 25 = 10x + -2x2 Solving 25 = 10x + -2x2 Solving for variable 'x'. Reorder the terms: 25 + -10x + 2x2 = 10x + -10x + -2x2 + 2x2 Combine like terms: 10x + -10x = 0 25 + -10x + 2x2 = 0 + -2x2 + 2x2 25 + -10x + 2x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 25 + -10x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 12.5 + -5x + x2 = 0 Move the constant term to the right: Add '-12.5' to each side of the equation. 12.5 + -5x + -12.5 + x2 = 0 + -12.5 Reorder the terms: 12.5 + -12.5 + -5x + x2 = 0 + -12.5 Combine like terms: 12.5 + -12.5 = 0.0 0.0 + -5x + x2 = 0 + -12.5 -5x + x2 = 0 + -12.5 Combine like terms: 0 + -12.5 = -12.5 -5x + x2 = -12.5 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 = -12.5 + 6.25 Reorder the terms: 6.25 + -5x + x2 = -12.5 + 6.25 Combine like terms: -12.5 + 6.25 = -6.25 6.25 + -5x + x2 = -6.25 Factor a perfect square on the left side: (x + -2.5)(x + -2.5) = -6.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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