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Simplifying 2(x2 + -10x + 26) = 1 Reorder the terms: 2(26 + -10x + x2) = 1 (26 * 2 + -10x * 2 + x2 * 2) = 1 (52 + -20x + 2x2) = 1 Solving 52 + -20x + 2x2 = 1 Solving for variable 'x'. Reorder the terms: 52 + -1 + -20x + 2x2 = 1 + -1 Combine like terms: 52 + -1 = 51 51 + -20x + 2x2 = 1 + -1 Combine like terms: 1 + -1 = 0 51 + -20x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 25.5 + -10x + x2 = 0 Move the constant term to the right: Add '-25.5' to each side of the equation. 25.5 + -10x + -25.5 + x2 = 0 + -25.5 Reorder the terms: 25.5 + -25.5 + -10x + x2 = 0 + -25.5 Combine like terms: 25.5 + -25.5 = 0.0 0.0 + -10x + x2 = 0 + -25.5 -10x + x2 = 0 + -25.5 Combine like terms: 0 + -25.5 = -25.5 -10x + x2 = -25.5 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 = -25.5 + 25 Reorder the terms: 25 + -10x + x2 = -25.5 + 25 Combine like terms: -25.5 + 25 = -0.5 25 + -10x + x2 = -0.5 Factor a perfect square on the left side: (x + -5)(x + -5) = -0.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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