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Simplifying 2.25 + x2 + -3x = -0.083 Reorder the terms: 2.25 + -3x + x2 = -0.083 Solving 2.25 + -3x + x2 = -0.083 Solving for variable 'x'. Reorder the terms: 2.25 + 0.083 + -3x + x2 = -0.083 + 0.083 Combine like terms: 2.25 + 0.083 = 2.333 2.333 + -3x + x2 = -0.083 + 0.083 Combine like terms: -0.083 + 0.083 = 0.000 2.333 + -3x + x2 = 0.000 Begin completing the square. Move the constant term to the right: Add '-2.333' to each side of the equation. 2.333 + -3x + -2.333 + x2 = 0.000 + -2.333 Reorder the terms: 2.333 + -2.333 + -3x + x2 = 0.000 + -2.333 Combine like terms: 2.333 + -2.333 = 0.000 0.000 + -3x + x2 = 0.000 + -2.333 -3x + x2 = 0.000 + -2.333 Combine like terms: 0.000 + -2.333 = -2.333 -3x + x2 = -2.333 The x term is -3x. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3x + 2.25 + x2 = -2.333 + 2.25 Reorder the terms: 2.25 + -3x + x2 = -2.333 + 2.25 Combine like terms: -2.333 + 2.25 = -0.083 2.25 + -3x + x2 = -0.083 Factor a perfect square on the left side: (x + -1.5)(x + -1.5) = -0.083 Can't calculate square root of the right side. The solution to this equation could not be determined.
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