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Simplifying 3x2 + 2.2x + 1.21 = 0 Reorder the terms: 1.21 + 2.2x + 3x2 = 0 Solving 1.21 + 2.2x + 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'. 0.4033333333 + 0.7333333333x + x2 = 0 Move the constant term to the right: Add '-0.4033333333' to each side of the equation. 0.4033333333 + 0.7333333333x + -0.4033333333 + x2 = 0 + -0.4033333333 Reorder the terms: 0.4033333333 + -0.4033333333 + 0.7333333333x + x2 = 0 + -0.4033333333 Combine like terms: 0.4033333333 + -0.4033333333 = 0.0000000000 0.0000000000 + 0.7333333333x + x2 = 0 + -0.4033333333 0.7333333333x + x2 = 0 + -0.4033333333 Combine like terms: 0 + -0.4033333333 = -0.4033333333 0.7333333333x + x2 = -0.4033333333 The x term is 0.7333333333x. Take half its coefficient (0.3666666667). Square it (0.1344444445) and add it to both sides. Add '0.1344444445' to each side of the equation. 0.7333333333x + 0.1344444445 + x2 = -0.4033333333 + 0.1344444445 Reorder the terms: 0.1344444445 + 0.7333333333x + x2 = -0.4033333333 + 0.1344444445 Combine like terms: -0.4033333333 + 0.1344444445 = -0.2688888888 0.1344444445 + 0.7333333333x + x2 = -0.2688888888 Factor a perfect square on the left side: (x + 0.3666666667)(x + 0.3666666667) = -0.2688888888 Can't calculate square root of the right side. The solution to this equation could not be determined.
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