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Simplifying x2 + 23x + 144 = 0 Reorder the terms: 144 + 23x + x2 = 0 Solving 144 + 23x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-144' to each side of the equation. 144 + 23x + -144 + x2 = 0 + -144 Reorder the terms: 144 + -144 + 23x + x2 = 0 + -144 Combine like terms: 144 + -144 = 0 0 + 23x + x2 = 0 + -144 23x + x2 = 0 + -144 Combine like terms: 0 + -144 = -144 23x + x2 = -144 The x term is 23x. Take half its coefficient (11.5). Square it (132.25) and add it to both sides. Add '132.25' to each side of the equation. 23x + 132.25 + x2 = -144 + 132.25 Reorder the terms: 132.25 + 23x + x2 = -144 + 132.25 Combine like terms: -144 + 132.25 = -11.75 132.25 + 23x + x2 = -11.75 Factor a perfect square on the left side: (x + 11.5)(x + 11.5) = -11.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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