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Simplifying x2 + 1.8x + 2.5 = 0 Reorder the terms: 2.5 + 1.8x + x2 = 0 Solving 2.5 + 1.8x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-2.5' to each side of the equation. 2.5 + 1.8x + -2.5 + x2 = 0 + -2.5 Reorder the terms: 2.5 + -2.5 + 1.8x + x2 = 0 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + 1.8x + x2 = 0 + -2.5 1.8x + x2 = 0 + -2.5 Combine like terms: 0 + -2.5 = -2.5 1.8x + x2 = -2.5 The x term is 1.8x. Take half its coefficient (0.9). Square it (0.81) and add it to both sides. Add '0.81' to each side of the equation. 1.8x + 0.81 + x2 = -2.5 + 0.81 Reorder the terms: 0.81 + 1.8x + x2 = -2.5 + 0.81 Combine like terms: -2.5 + 0.81 = -1.69 0.81 + 1.8x + x2 = -1.69 Factor a perfect square on the left side: (x + 0.9)(x + 0.9) = -1.69 Can't calculate square root of the right side. The solution to this equation could not be determined.
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