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Simplifying 20x2 + -39x + 80 = 0 Reorder the terms: 80 + -39x + 20x2 = 0 Solving 80 + -39x + 20x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 20 the coefficient of the squared term: Divide each side by '20'. 4 + -1.95x + x2 = 0 Move the constant term to the right: Add '-4' to each side of the equation. 4 + -1.95x + -4 + x2 = 0 + -4 Reorder the terms: 4 + -4 + -1.95x + x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1.95x + x2 = 0 + -4 -1.95x + x2 = 0 + -4 Combine like terms: 0 + -4 = -4 -1.95x + x2 = -4 The x term is -1.95x. Take half its coefficient (-0.975). Square it (0.950625) and add it to both sides. Add '0.950625' to each side of the equation. -1.95x + 0.950625 + x2 = -4 + 0.950625 Reorder the terms: 0.950625 + -1.95x + x2 = -4 + 0.950625 Combine like terms: -4 + 0.950625 = -3.049375 0.950625 + -1.95x + x2 = -3.049375 Factor a perfect square on the left side: (x + -0.975)(x + -0.975) = -3.049375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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