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Simplifying x(1 + -0.02x) = 26 (1 * x + -0.02x * x) = 26 (1x + -0.02x2) = 26 Solving 1x + -0.02x2 = 26 Solving for variable 'x'. Reorder the terms: -26 + 1x + -0.02x2 = 26 + -26 Combine like terms: 26 + -26 = 0 -26 + 1x + -0.02x2 = 0 Begin completing the square. Divide all terms by -0.02 the coefficient of the squared term: Divide each side by '-0.02'. 1300 + -50x + x2 = 0 Move the constant term to the right: Add '-1300' to each side of the equation. 1300 + -50x + -1300 + x2 = 0 + -1300 Reorder the terms: 1300 + -1300 + -50x + x2 = 0 + -1300 Combine like terms: 1300 + -1300 = 0 0 + -50x + x2 = 0 + -1300 -50x + x2 = 0 + -1300 Combine like terms: 0 + -1300 = -1300 -50x + x2 = -1300 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 = -1300 + 625 Reorder the terms: 625 + -50x + x2 = -1300 + 625 Combine like terms: -1300 + 625 = -675 625 + -50x + x2 = -675 Factor a perfect square on the left side: (x + -25)(x + -25) = -675 Can't calculate square root of the right side. The solution to this equation could not be determined.
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