What are the solutions to the equation (250+10x)(70-2x)=17980 ?

The solutions to the equation (250+10x)(70-2x)=17980 are x=4,x=6

Find the zeros of (250+10x)(70-2x)=17980

The zeros of (250+10x)(70-2x)=17980 are x=4,x=6

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(250 + 10 x) (70 - 2 x) = 17980

x = 4, x = 6

Solution steps

(250 + 10 x) (70 - 2 x) = 17980

Expand

(250 + 10 x) (70 - 2 x) : 17500 + 200 x - 20 x^{2}

17500 + 200 x - 20 x^{2} = 17980

Move

17980

to the left side

- 20 x^{2} + 200 x - 480 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 200 \pm 20 0 ^{2} - 4 ( - 20 ) ( - 480 )}{2 ( - 20 )}

20 0^{2} - 4 (- 20) (- 480) = 40

x_{1, 2} = \frac{- 200 \pm 40}{2 ( - 20 )}

Separate the solutions

x_{1} = \frac{- 200 + 40}{2 ( - 20 )}, x_{2} = \frac{- 200 - 40}{2 ( - 20 )}

x = \frac{- 200 + 40}{2 ( - 20 )} : 4

x = \frac{- 200 - 40}{2 ( - 20 )} : 6

The solutions to the quadratic equation are:

x = 4, x = 6

\frac{x - 4}{5} = \frac{x - 2}{3} + 5

x, g = f

\frac{( x - 4 )}{5} = \frac{( x - 2 )}{3 + 5}

7 (2 x - 3) - 4 (x + 5) = 8 (x - 1) + 3

x, y = \frac{1}{2} f

What are the solutions to the equation (250+10x)(70-2x)=17980 ?
The solutions to the equation (250+10x)(70-2x)=17980 are x=4,x=6
Find the zeros of (250+10x)(70-2x)=17980
The zeros of (250+10x)(70-2x)=17980 are x=4,x=6