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Simplifying 2x2 + -10x + 50 = 15 Reorder the terms: 50 + -10x + 2x2 = 15 Solving 50 + -10x + 2x2 = 15 Solving for variable 'x'. Reorder the terms: 50 + -15 + -10x + 2x2 = 15 + -15 Combine like terms: 50 + -15 = 35 35 + -10x + 2x2 = 15 + -15 Combine like terms: 15 + -15 = 0 35 + -10x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 17.5 + -5x + x2 = 0 Move the constant term to the right: Add '-17.5' to each side of the equation. 17.5 + -5x + -17.5 + x2 = 0 + -17.5 Reorder the terms: 17.5 + -17.5 + -5x + x2 = 0 + -17.5 Combine like terms: 17.5 + -17.5 = 0.0 0.0 + -5x + x2 = 0 + -17.5 -5x + x2 = 0 + -17.5 Combine like terms: 0 + -17.5 = -17.5 -5x + x2 = -17.5 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 = -17.5 + 6.25 Reorder the terms: 6.25 + -5x + x2 = -17.5 + 6.25 Combine like terms: -17.5 + 6.25 = -11.25 6.25 + -5x + x2 = -11.25 Factor a perfect square on the left side: (x + -2.5)(x + -2.5) = -11.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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