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Simplifying 3x2 + -216x + 11021 = 0 Reorder the terms: 11021 + -216x + 3x2 = 0 Solving 11021 + -216x + 3x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 3673.666667 + -72x + x2 = 0 Move the constant term to the right: Add '-3673.666667' to each side of the equation. 3673.666667 + -72x + -3673.666667 + x2 = 0 + -3673.666667 Reorder the terms: 3673.666667 + -3673.666667 + -72x + x2 = 0 + -3673.666667 Combine like terms: 3673.666667 + -3673.666667 = 0.000000 0.000000 + -72x + x2 = 0 + -3673.666667 -72x + x2 = 0 + -3673.666667 Combine like terms: 0 + -3673.666667 = -3673.666667 -72x + x2 = -3673.666667 The x term is -72x. Take half its coefficient (-36). Square it (1296) and add it to both sides. Add '1296' to each side of the equation. -72x + 1296 + x2 = -3673.666667 + 1296 Reorder the terms: 1296 + -72x + x2 = -3673.666667 + 1296 Combine like terms: -3673.666667 + 1296 = -2377.666667 1296 + -72x + x2 = -2377.666667 Factor a perfect square on the left side: (x + -36)(x + -36) = -2377.666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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