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Simplifying 50x + -1x2 = 3000 Solving 50x + -1x2 = 3000 Solving for variable 'x'. Reorder the terms: -3000 + 50x + -1x2 = 3000 + -3000 Combine like terms: 3000 + -3000 = 0 -3000 + 50x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 3000 + -50x + x2 = 0 Move the constant term to the right: Add '-3000' to each side of the equation. 3000 + -50x + -3000 + x2 = 0 + -3000 Reorder the terms: 3000 + -3000 + -50x + x2 = 0 + -3000 Combine like terms: 3000 + -3000 = 0 0 + -50x + x2 = 0 + -3000 -50x + x2 = 0 + -3000 Combine like terms: 0 + -3000 = -3000 -50x + x2 = -3000 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 = -3000 + 625 Reorder the terms: 625 + -50x + x2 = -3000 + 625 Combine like terms: -3000 + 625 = -2375 625 + -50x + x2 = -2375 Factor a perfect square on the left side: (x + -25)(x + -25) = -2375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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