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Simplifying 20x2 + -39x + 80 = 9 Reorder the terms: 80 + -39x + 20x2 = 9 Solving 80 + -39x + 20x2 = 9 Solving for variable 'x'. Reorder the terms: 80 + -9 + -39x + 20x2 = 9 + -9 Combine like terms: 80 + -9 = 71 71 + -39x + 20x2 = 9 + -9 Combine like terms: 9 + -9 = 0 71 + -39x + 20x2 = 0 Begin completing the square. Divide all terms by 20 the coefficient of the squared term: Divide each side by '20'. 3.55 + -1.95x + x2 = 0 Move the constant term to the right: Add '-3.55' to each side of the equation. 3.55 + -1.95x + -3.55 + x2 = 0 + -3.55 Reorder the terms: 3.55 + -3.55 + -1.95x + x2 = 0 + -3.55 Combine like terms: 3.55 + -3.55 = 0.00 0.00 + -1.95x + x2 = 0 + -3.55 -1.95x + x2 = 0 + -3.55 Combine like terms: 0 + -3.55 = -3.55 -1.95x + x2 = -3.55 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 = -3.55 + 0.950625 Reorder the terms: 0.950625 + -1.95x + x2 = -3.55 + 0.950625 Combine like terms: -3.55 + 0.950625 = -2.599375 0.950625 + -1.95x + x2 = -2.599375 Factor a perfect square on the left side: (x + -0.975)(x + -0.975) = -2.599375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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