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Simplifying x2 + 50x = -5000 Reorder the terms: 50x + x2 = -5000 Solving 50x + x2 = -5000 Solving for variable 'x'. Reorder the terms: 5000 + 50x + x2 = -5000 + 5000 Combine like terms: -5000 + 5000 = 0 5000 + 50x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-5000' to each side of the equation. 5000 + 50x + -5000 + x2 = 0 + -5000 Reorder the terms: 5000 + -5000 + 50x + x2 = 0 + -5000 Combine like terms: 5000 + -5000 = 0 0 + 50x + x2 = 0 + -5000 50x + x2 = 0 + -5000 Combine like terms: 0 + -5000 = -5000 50x + x2 = -5000 The x term is 50x. Take half its coefficient (25). Square it (625) and add it to both sides. Add '625' to each side of the equation. 50x + 625 + x2 = -5000 + 625 Reorder the terms: 625 + 50x + x2 = -5000 + 625 Combine like terms: -5000 + 625 = -4375 625 + 50x + x2 = -4375 Factor a perfect square on the left side: (x + 25)(x + 25) = -4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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