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Simplifying 81x2 + 20x + 125 = 0 Reorder the terms: 125 + 20x + 81x2 = 0 Solving 125 + 20x + 81x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 81 the coefficient of the squared term: Divide each side by '81'. 1.543209877 + 0.2469135802x + x2 = 0 Move the constant term to the right: Add '-1.543209877' to each side of the equation. 1.543209877 + 0.2469135802x + -1.543209877 + x2 = 0 + -1.543209877 Reorder the terms: 1.543209877 + -1.543209877 + 0.2469135802x + x2 = 0 + -1.543209877 Combine like terms: 1.543209877 + -1.543209877 = 0.000000000 0.000000000 + 0.2469135802x + x2 = 0 + -1.543209877 0.2469135802x + x2 = 0 + -1.543209877 Combine like terms: 0 + -1.543209877 = -1.543209877 0.2469135802x + x2 = -1.543209877 The x term is 0.2469135802x. Take half its coefficient (0.1234567901). Square it (0.01524157902) and add it to both sides. Add '0.01524157902' to each side of the equation. 0.2469135802x + 0.01524157902 + x2 = -1.543209877 + 0.01524157902 Reorder the terms: 0.01524157902 + 0.2469135802x + x2 = -1.543209877 + 0.01524157902 Combine like terms: -1.543209877 + 0.01524157902 = -1.52796829798 0.01524157902 + 0.2469135802x + x2 = -1.52796829798 Factor a perfect square on the left side: (x + 0.1234567901)(x + 0.1234567901) = -1.52796829798 Can't calculate square root of the right side. The solution to this equation could not be determined.
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