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Simplifying x(50 + -1x) = 14 * 50 (50 * x + -1x * x) = 14 * 50 (50x + -1x2) = 14 * 50 Multiply 14 * 50 50x + -1x2 = 700 Solving 50x + -1x2 = 700 Solving for variable 'x'. Reorder the terms: -700 + 50x + -1x2 = 700 + -700 Combine like terms: 700 + -700 = 0 -700 + 50x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 700 + -50x + x2 = 0 Move the constant term to the right: Add '-700' to each side of the equation. 700 + -50x + -700 + x2 = 0 + -700 Reorder the terms: 700 + -700 + -50x + x2 = 0 + -700 Combine like terms: 700 + -700 = 0 0 + -50x + x2 = 0 + -700 -50x + x2 = 0 + -700 Combine like terms: 0 + -700 = -700 -50x + x2 = -700 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 = -700 + 625 Reorder the terms: 625 + -50x + x2 = -700 + 625 Combine like terms: -700 + 625 = -75 625 + -50x + x2 = -75 Factor a perfect square on the left side: (x + -25)(x + -25) = -75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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