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Simplifying 2x2 + -3.4x + 2.89 = 0 Reorder the terms: 2.89 + -3.4x + 2x2 = 0 Solving 2.89 + -3.4x + 2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 1.445 + -1.7x + x2 = 0 Move the constant term to the right: Add '-1.445' to each side of the equation. 1.445 + -1.7x + -1.445 + x2 = 0 + -1.445 Reorder the terms: 1.445 + -1.445 + -1.7x + x2 = 0 + -1.445 Combine like terms: 1.445 + -1.445 = 0.000 0.000 + -1.7x + x2 = 0 + -1.445 -1.7x + x2 = 0 + -1.445 Combine like terms: 0 + -1.445 = -1.445 -1.7x + x2 = -1.445 The x term is -1.7x. Take half its coefficient (-0.85). Square it (0.7225) and add it to both sides. Add '0.7225' to each side of the equation. -1.7x + 0.7225 + x2 = -1.445 + 0.7225 Reorder the terms: 0.7225 + -1.7x + x2 = -1.445 + 0.7225 Combine like terms: -1.445 + 0.7225 = -0.7225 0.7225 + -1.7x + x2 = -0.7225 Factor a perfect square on the left side: (x + -0.85)(x + -0.85) = -0.7225 Can't calculate square root of the right side. The solution to this equation could not be determined.
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