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Simplifying x2 + 1.2x + 0.5 = 0 Reorder the terms: 0.5 + 1.2x + x2 = 0 Solving 0.5 + 1.2x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-0.5' to each side of the equation. 0.5 + 1.2x + -0.5 + x2 = 0 + -0.5 Reorder the terms: 0.5 + -0.5 + 1.2x + x2 = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 1.2x + x2 = 0 + -0.5 1.2x + x2 = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 1.2x + x2 = -0.5 The x term is 1.2x. Take half its coefficient (0.6). Square it (0.36) and add it to both sides. Add '0.36' to each side of the equation. 1.2x + 0.36 + x2 = -0.5 + 0.36 Reorder the terms: 0.36 + 1.2x + x2 = -0.5 + 0.36 Combine like terms: -0.5 + 0.36 = -0.14 0.36 + 1.2x + x2 = -0.14 Factor a perfect square on the left side: (x + 0.6)(x + 0.6) = -0.14 Can't calculate square root of the right side. The solution to this equation could not be determined.
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