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Simplifying x2 + 37.5x + 400 = 0 Reorder the terms: 400 + 37.5x + x2 = 0 Solving 400 + 37.5x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-400' to each side of the equation. 400 + 37.5x + -400 + x2 = 0 + -400 Reorder the terms: 400 + -400 + 37.5x + x2 = 0 + -400 Combine like terms: 400 + -400 = 0 0 + 37.5x + x2 = 0 + -400 37.5x + x2 = 0 + -400 Combine like terms: 0 + -400 = -400 37.5x + x2 = -400 The x term is 37.5x. Take half its coefficient (18.75). Square it (351.5625) and add it to both sides. Add '351.5625' to each side of the equation. 37.5x + 351.5625 + x2 = -400 + 351.5625 Reorder the terms: 351.5625 + 37.5x + x2 = -400 + 351.5625 Combine like terms: -400 + 351.5625 = -48.4375 351.5625 + 37.5x + x2 = -48.4375 Factor a perfect square on the left side: (x + 18.75)(x + 18.75) = -48.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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