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Simplifying x2 + 21x + 180 = 0 Reorder the terms: 180 + 21x + x2 = 0 Solving 180 + 21x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-180' to each side of the equation. 180 + 21x + -180 + x2 = 0 + -180 Reorder the terms: 180 + -180 + 21x + x2 = 0 + -180 Combine like terms: 180 + -180 = 0 0 + 21x + x2 = 0 + -180 21x + x2 = 0 + -180 Combine like terms: 0 + -180 = -180 21x + x2 = -180 The x term is 21x. Take half its coefficient (10.5). Square it (110.25) and add it to both sides. Add '110.25' to each side of the equation. 21x + 110.25 + x2 = -180 + 110.25 Reorder the terms: 110.25 + 21x + x2 = -180 + 110.25 Combine like terms: -180 + 110.25 = -69.75 110.25 + 21x + x2 = -69.75 Factor a perfect square on the left side: (x + 10.5)(x + 10.5) = -69.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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