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Simplifying x(1 + -0.02x) = 20 (1 * x + -0.02x * x) = 20 (1x + -0.02x2) = 20 Solving 1x + -0.02x2 = 20 Solving for variable 'x'. Reorder the terms: -20 + 1x + -0.02x2 = 20 + -20 Combine like terms: 20 + -20 = 0 -20 + 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'. 1000 + -50x + x2 = 0 Move the constant term to the right: Add '-1000' to each side of the equation. 1000 + -50x + -1000 + x2 = 0 + -1000 Reorder the terms: 1000 + -1000 + -50x + x2 = 0 + -1000 Combine like terms: 1000 + -1000 = 0 0 + -50x + x2 = 0 + -1000 -50x + x2 = 0 + -1000 Combine like terms: 0 + -1000 = -1000 -50x + x2 = -1000 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 = -1000 + 625 Reorder the terms: 625 + -50x + x2 = -1000 + 625 Combine like terms: -1000 + 625 = -375 625 + -50x + x2 = -375 Factor a perfect square on the left side: (x + -25)(x + -25) = -375 Can't calculate square root of the right side. The solution to this equation could not be determined.
| x(1-0.02x)=26 | | 13.14/12= | | 4/6=x/3 | | 12/13.14= | | 13.14/12 | | 40/0.04 |