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Simplifying X2 + 5X + 192 = 0 Reorder the terms: 192 + 5X + X2 = 0 Solving 192 + 5X + X2 = 0 Solving for variable 'X'. Begin completing the square. Move the constant term to the right: Add '-192' to each side of the equation. 192 + 5X + -192 + X2 = 0 + -192 Reorder the terms: 192 + -192 + 5X + X2 = 0 + -192 Combine like terms: 192 + -192 = 0 0 + 5X + X2 = 0 + -192 5X + X2 = 0 + -192 Combine like terms: 0 + -192 = -192 5X + X2 = -192 The X term is 5X. Take half its coefficient (2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. 5X + 6.25 + X2 = -192 + 6.25 Reorder the terms: 6.25 + 5X + X2 = -192 + 6.25 Combine like terms: -192 + 6.25 = -185.75 6.25 + 5X + X2 = -185.75 Factor a perfect square on the left side: (X + 2.5)(X + 2.5) = -185.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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