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Simplifying 0.5x2 + -1.1x + 3.576 = 0 Reorder the terms: 3.576 + -1.1x + 0.5x2 = 0 Solving 3.576 + -1.1x + 0.5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.5 the coefficient of the squared term: Divide each side by '0.5'. 7.152 + -2.2x + x2 = 0 Move the constant term to the right: Add '-7.152' to each side of the equation. 7.152 + -2.2x + -7.152 + x2 = 0 + -7.152 Reorder the terms: 7.152 + -7.152 + -2.2x + x2 = 0 + -7.152 Combine like terms: 7.152 + -7.152 = 0.000 0.000 + -2.2x + x2 = 0 + -7.152 -2.2x + x2 = 0 + -7.152 Combine like terms: 0 + -7.152 = -7.152 -2.2x + x2 = -7.152 The x term is -2.2x. Take half its coefficient (-1.1). Square it (1.21) and add it to both sides. Add '1.21' to each side of the equation. -2.2x + 1.21 + x2 = -7.152 + 1.21 Reorder the terms: 1.21 + -2.2x + x2 = -7.152 + 1.21 Combine like terms: -7.152 + 1.21 = -5.942 1.21 + -2.2x + x2 = -5.942 Factor a perfect square on the left side: (x + -1.1)(x + -1.1) = -5.942 Can't calculate square root of the right side. The solution to this equation could not be determined.
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