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Simplifying 10400 = 50x + -1x2 Solving 10400 = 50x + -1x2 Solving for variable 'x'. Reorder the terms: 10400 + -50x + x2 = 50x + -50x + -1x2 + x2 Combine like terms: 50x + -50x = 0 10400 + -50x + x2 = 0 + -1x2 + x2 10400 + -50x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 10400 + -50x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-10400' to each side of the equation. 10400 + -50x + -10400 + x2 = 0 + -10400 Reorder the terms: 10400 + -10400 + -50x + x2 = 0 + -10400 Combine like terms: 10400 + -10400 = 0 0 + -50x + x2 = 0 + -10400 -50x + x2 = 0 + -10400 Combine like terms: 0 + -10400 = -10400 -50x + x2 = -10400 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 = -10400 + 625 Reorder the terms: 625 + -50x + x2 = -10400 + 625 Combine like terms: -10400 + 625 = -9775 625 + -50x + x2 = -9775 Factor a perfect square on the left side: (x + -25)(x + -25) = -9775 Can't calculate square root of the right side. The solution to this equation could not be determined.
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