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Simplifying x2 + 20x + 180 = 0 Reorder the terms: 180 + 20x + x2 = 0 Solving 180 + 20x + 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 + 20x + -180 + x2 = 0 + -180 Reorder the terms: 180 + -180 + 20x + x2 = 0 + -180 Combine like terms: 180 + -180 = 0 0 + 20x + x2 = 0 + -180 20x + x2 = 0 + -180 Combine like terms: 0 + -180 = -180 20x + x2 = -180 The x term is 20x. Take half its coefficient (10). Square it (100) and add it to both sides. Add '100' to each side of the equation. 20x + 100 + x2 = -180 + 100 Reorder the terms: 100 + 20x + x2 = -180 + 100 Combine like terms: -180 + 100 = -80 100 + 20x + x2 = -80 Factor a perfect square on the left side: (x + 10)(x + 10) = -80 Can't calculate square root of the right side. The solution to this equation could not be determined.
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