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Simplifying 400 + 25x + x2 = 50 + 50x Solving 400 + 25x + x2 = 50 + 50x Solving for variable 'x'. Reorder the terms: 400 + -50 + 25x + -50x + x2 = 50 + 50x + -50 + -50x Combine like terms: 400 + -50 = 350 350 + 25x + -50x + x2 = 50 + 50x + -50 + -50x Combine like terms: 25x + -50x = -25x 350 + -25x + x2 = 50 + 50x + -50 + -50x Reorder the terms: 350 + -25x + x2 = 50 + -50 + 50x + -50x Combine like terms: 50 + -50 = 0 350 + -25x + x2 = 0 + 50x + -50x 350 + -25x + x2 = 50x + -50x Combine like terms: 50x + -50x = 0 350 + -25x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-350' to each side of the equation. 350 + -25x + -350 + x2 = 0 + -350 Reorder the terms: 350 + -350 + -25x + x2 = 0 + -350 Combine like terms: 350 + -350 = 0 0 + -25x + x2 = 0 + -350 -25x + x2 = 0 + -350 Combine like terms: 0 + -350 = -350 -25x + x2 = -350 The x term is -25x. Take half its coefficient (-12.5). Square it (156.25) and add it to both sides. Add '156.25' to each side of the equation. -25x + 156.25 + x2 = -350 + 156.25 Reorder the terms: 156.25 + -25x + x2 = -350 + 156.25 Combine like terms: -350 + 156.25 = -193.75 156.25 + -25x + x2 = -193.75 Factor a perfect square on the left side: (x + -12.5)(x + -12.5) = -193.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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