What are the solutions to the equation 0.1x(1-x/(800))-0.05x=0 ?

The solutions to the equation 0.1x(1-x/(800))-0.05x=0 are x=0,x=400

Find the zeros of 0.1x(1-x/(800))-0.05x=0

The zeros of 0.1x(1-x/(800))-0.05x=0 are x=0,x=400

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0.1 x (1 - \frac{x}{800}) - 0.05 x = 0

x = 0, x = 400

Solution steps

0.1 x (1 - \frac{x}{800}) - 0.05 x = 0

Multiply both sides by

100

10 x (1 - \frac{x}{800}) - 5 x = 0

Expand

10 x (1 - \frac{x}{800}) - 5 x : - \frac{x ^{2}}{80} + 5 x

- \frac{x ^{2}}{80} + 5 x = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 5 \pm 5 ^{2} - 4 ( - \frac{1}{80} ) \cdot 0}{2 ( - \frac{1}{80} )}

5^{2} - 4 (- \frac{1}{80}) \cdot 0 = 5

x_{1, 2} = \frac{- 5 \pm 5}{2 ( - \frac{1}{80} )}

Separate the solutions

x_{1} = \frac{- 5 + 5}{2 ( - \frac{1}{80} )}, x_{2} = \frac{- 5 - 5}{2 ( - \frac{1}{80} )}

x = \frac{- 5 + 5}{2 ( - \frac{1}{80} )} : 0

x = \frac{- 5 - 5}{2 ( - \frac{1}{80} )} : 400

The solutions to the quadratic equation are:

x = 0, x = 400

(x + a) (x + b) = 0

9 x^{2} - 6 = 19

\frac{- 3 x ^{2} - 16 x}{12} + 7 = 0

3 x^{2} + 16 x = 0

2 m^{2} + 13 m + 20 = 0

What are the solutions to the equation 0.1x(1-x/(800))-0.05x=0 ?
The solutions to the equation 0.1x(1-x/(800))-0.05x=0 are x=0,x=400
Find the zeros of 0.1x(1-x/(800))-0.05x=0
The zeros of 0.1x(1-x/(800))-0.05x=0 are x=0,x=400