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Simplifying 5x2 + -26x + 40 = 0 Reorder the terms: 40 + -26x + 5x2 = 0 Solving 40 + -26x + 5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 8 + -5.2x + x2 = 0 Move the constant term to the right: Add '-8' to each side of the equation. 8 + -5.2x + -8 + x2 = 0 + -8 Reorder the terms: 8 + -8 + -5.2x + x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5.2x + x2 = 0 + -8 -5.2x + x2 = 0 + -8 Combine like terms: 0 + -8 = -8 -5.2x + x2 = -8 The x term is -5.2x. Take half its coefficient (-2.6). Square it (6.76) and add it to both sides. Add '6.76' to each side of the equation. -5.2x + 6.76 + x2 = -8 + 6.76 Reorder the terms: 6.76 + -5.2x + x2 = -8 + 6.76 Combine like terms: -8 + 6.76 = -1.24 6.76 + -5.2x + x2 = -1.24 Factor a perfect square on the left side: (x + -2.6)(x + -2.6) = -1.24 Can't calculate square root of the right side. The solution to this equation could not be determined.
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