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Simplifying x2 + 3x + 42.25 = 19 Reorder the terms: 42.25 + 3x + x2 = 19 Solving 42.25 + 3x + x2 = 19 Solving for variable 'x'. Reorder the terms: 42.25 + -19 + 3x + x2 = 19 + -19 Combine like terms: 42.25 + -19 = 23.25 23.25 + 3x + x2 = 19 + -19 Combine like terms: 19 + -19 = 0 23.25 + 3x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-23.25' to each side of the equation. 23.25 + 3x + -23.25 + x2 = 0 + -23.25 Reorder the terms: 23.25 + -23.25 + 3x + x2 = 0 + -23.25 Combine like terms: 23.25 + -23.25 = 0.00 0.00 + 3x + x2 = 0 + -23.25 3x + x2 = 0 + -23.25 Combine like terms: 0 + -23.25 = -23.25 3x + x2 = -23.25 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 = -23.25 + 2.25 Reorder the terms: 2.25 + 3x + x2 = -23.25 + 2.25 Combine like terms: -23.25 + 2.25 = -21 2.25 + 3x + x2 = -21 Factor a perfect square on the left side: (x + 1.5)(x + 1.5) = -21 Can't calculate square root of the right side. The solution to this equation could not be determined.
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