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Simplifying 5x2 + -26x + 39 = 0 Reorder the terms: 39 + -26x + 5x2 = 0 Solving 39 + -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'. 7.8 + -5.2x + x2 = 0 Move the constant term to the right: Add '-7.8' to each side of the equation. 7.8 + -5.2x + -7.8 + x2 = 0 + -7.8 Reorder the terms: 7.8 + -7.8 + -5.2x + x2 = 0 + -7.8 Combine like terms: 7.8 + -7.8 = 0.0 0.0 + -5.2x + x2 = 0 + -7.8 -5.2x + x2 = 0 + -7.8 Combine like terms: 0 + -7.8 = -7.8 -5.2x + x2 = -7.8 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 = -7.8 + 6.76 Reorder the terms: 6.76 + -5.2x + x2 = -7.8 + 6.76 Combine like terms: -7.8 + 6.76 = -1.04 6.76 + -5.2x + x2 = -1.04 Factor a perfect square on the left side: (x + -2.6)(x + -2.6) = -1.04 Can't calculate square root of the right side. The solution to this equation could not be determined.
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