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Simplifying 104000 = 10000 + 50x + -1x2 Solving 104000 = 10000 + 50x + -1x2 Solving for variable 'x'. Combine like terms: 104000 + -10000 = 94000 94000 + -50x + x2 = 10000 + 50x + -1x2 + -10000 + -50x + x2 Reorder the terms: 94000 + -50x + x2 = 10000 + -10000 + 50x + -50x + -1x2 + x2 Combine like terms: 10000 + -10000 = 0 94000 + -50x + x2 = 0 + 50x + -50x + -1x2 + x2 94000 + -50x + x2 = 50x + -50x + -1x2 + x2 Combine like terms: 50x + -50x = 0 94000 + -50x + x2 = 0 + -1x2 + x2 94000 + -50x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 94000 + -50x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-94000' to each side of the equation. 94000 + -50x + -94000 + x2 = 0 + -94000 Reorder the terms: 94000 + -94000 + -50x + x2 = 0 + -94000 Combine like terms: 94000 + -94000 = 0 0 + -50x + x2 = 0 + -94000 -50x + x2 = 0 + -94000 Combine like terms: 0 + -94000 = -94000 -50x + x2 = -94000 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 = -94000 + 625 Reorder the terms: 625 + -50x + x2 = -94000 + 625 Combine like terms: -94000 + 625 = -93375 625 + -50x + x2 = -93375 Factor a perfect square on the left side: (x + -25)(x + -25) = -93375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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