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Simplifying 2x2 + -4.578x + 3.289 = 0 Reorder the terms: 3.289 + -4.578x + 2x2 = 0 Solving 3.289 + -4.578x + 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'. 1.6445 + -2.289x + x2 = 0 Move the constant term to the right: Add '-1.6445' to each side of the equation. 1.6445 + -2.289x + -1.6445 + x2 = 0 + -1.6445 Reorder the terms: 1.6445 + -1.6445 + -2.289x + x2 = 0 + -1.6445 Combine like terms: 1.6445 + -1.6445 = 0.0000 0.0000 + -2.289x + x2 = 0 + -1.6445 -2.289x + x2 = 0 + -1.6445 Combine like terms: 0 + -1.6445 = -1.6445 -2.289x + x2 = -1.6445 The x term is -2.289x. Take half its coefficient (-1.1445). Square it (1.30988025) and add it to both sides. Add '1.30988025' to each side of the equation. -2.289x + 1.30988025 + x2 = -1.6445 + 1.30988025 Reorder the terms: 1.30988025 + -2.289x + x2 = -1.6445 + 1.30988025 Combine like terms: -1.6445 + 1.30988025 = -0.33461975 1.30988025 + -2.289x + x2 = -0.33461975 Factor a perfect square on the left side: (x + -1.1445)(x + -1.1445) = -0.33461975 Can't calculate square root of the right side. The solution to this equation could not be determined.
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