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Simplifying x2 + 36x + 342 = 0 Reorder the terms: 342 + 36x + x2 = 0 Solving 342 + 36x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-342' to each side of the equation. 342 + 36x + -342 + x2 = 0 + -342 Reorder the terms: 342 + -342 + 36x + x2 = 0 + -342 Combine like terms: 342 + -342 = 0 0 + 36x + x2 = 0 + -342 36x + x2 = 0 + -342 Combine like terms: 0 + -342 = -342 36x + x2 = -342 The x term is 36x. Take half its coefficient (18). Square it (324) and add it to both sides. Add '324' to each side of the equation. 36x + 324 + x2 = -342 + 324 Reorder the terms: 324 + 36x + x2 = -342 + 324 Combine like terms: -342 + 324 = -18 324 + 36x + x2 = -18 Factor a perfect square on the left side: (x + 18)(x + 18) = -18 Can't calculate square root of the right side. The solution to this equation could not be determined.
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