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Simplifying 12x2 + 77x + 243 = 0 Reorder the terms: 243 + 77x + 12x2 = 0 Solving 243 + 77x + 12x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 20.25 + 6.416666667x + x2 = 0 Move the constant term to the right: Add '-20.25' to each side of the equation. 20.25 + 6.416666667x + -20.25 + x2 = 0 + -20.25 Reorder the terms: 20.25 + -20.25 + 6.416666667x + x2 = 0 + -20.25 Combine like terms: 20.25 + -20.25 = 0.00 0.00 + 6.416666667x + x2 = 0 + -20.25 6.416666667x + x2 = 0 + -20.25 Combine like terms: 0 + -20.25 = -20.25 6.416666667x + x2 = -20.25 The x term is 6.416666667x. Take half its coefficient (3.208333334). Square it (10.29340278) and add it to both sides. Add '10.29340278' to each side of the equation. 6.416666667x + 10.29340278 + x2 = -20.25 + 10.29340278 Reorder the terms: 10.29340278 + 6.416666667x + x2 = -20.25 + 10.29340278 Combine like terms: -20.25 + 10.29340278 = -9.95659722 10.29340278 + 6.416666667x + x2 = -9.95659722 Factor a perfect square on the left side: (x + 3.208333334)(x + 3.208333334) = -9.95659722 Can't calculate square root of the right side. The solution to this equation could not be determined.
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