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Simplifying x2 + 24x + 468 = 0 Reorder the terms: 468 + 24x + x2 = 0 Solving 468 + 24x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-468' to each side of the equation. 468 + 24x + -468 + x2 = 0 + -468 Reorder the terms: 468 + -468 + 24x + x2 = 0 + -468 Combine like terms: 468 + -468 = 0 0 + 24x + x2 = 0 + -468 24x + x2 = 0 + -468 Combine like terms: 0 + -468 = -468 24x + x2 = -468 The x term is 24x. Take half its coefficient (12). Square it (144) and add it to both sides. Add '144' to each side of the equation. 24x + 144 + x2 = -468 + 144 Reorder the terms: 144 + 24x + x2 = -468 + 144 Combine like terms: -468 + 144 = -324 144 + 24x + x2 = -324 Factor a perfect square on the left side: (x + 12)(x + 12) = -324 Can't calculate square root of the right side. The solution to this equation could not be determined.
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