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Simplifying x2 + 3x + 150 = -75 Reorder the terms: 150 + 3x + x2 = -75 Solving 150 + 3x + x2 = -75 Solving for variable 'x'. Reorder the terms: 150 + 75 + 3x + x2 = -75 + 75 Combine like terms: 150 + 75 = 225 225 + 3x + x2 = -75 + 75 Combine like terms: -75 + 75 = 0 225 + 3x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-225' to each side of the equation. 225 + 3x + -225 + x2 = 0 + -225 Reorder the terms: 225 + -225 + 3x + x2 = 0 + -225 Combine like terms: 225 + -225 = 0 0 + 3x + x2 = 0 + -225 3x + x2 = 0 + -225 Combine like terms: 0 + -225 = -225 3x + x2 = -225 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 = -225 + 2.25 Reorder the terms: 2.25 + 3x + x2 = -225 + 2.25 Combine like terms: -225 + 2.25 = -222.75 2.25 + 3x + x2 = -222.75 Factor a perfect square on the left side: (x + 1.5)(x + 1.5) = -222.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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