(40+1x)(200-5x)=0

Simple and best practice solution for (40+1x)(200-5x)=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for (40+1x)(200-5x)=0 equation:



(40+1x)(200-5x)=0
We add all the numbers together, and all the variables
(x+40)(-5x+200)=0
We multiply parentheses ..
(-5x^2+200x-200x+8000)=0
We get rid of parentheses
-5x^2+200x-200x+8000=0
We add all the numbers together, and all the variables
-5x^2+8000=0
a = -5; b = 0; c = +8000;
Δ = b2-4ac
Δ = 02-4·(-5)·8000
Δ = 160000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{160000}=400$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-400}{2*-5}=\frac{-400}{-10} =+40 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+400}{2*-5}=\frac{400}{-10} =-40 $

See similar equations:

| 180x+66=180 | | 180x+40=180 | | k(k+1)=235.2 | | 180x+90=180 | | 0.5=x+(0.5-x) | | 40x+180=40 | | 46-x=180 | | (x+5)/(3x-6)=3/8 | | a/5=60 | | 5a+34=60 | | 0.56x=2x | | y=250+2.25X | | 9x+12x=1 | | 8(x-1)-16x=1 | | 73=2x | | -4m+-7=-7 | | 425=n(75+175 | | -21=3+3x | | 150-12x=120-0.5x | | x^2+1.80x-0.10818=0 | | (X-7)/3=1+(6x-5)/9 | | -4x+10=-5x+1 | | 2(p+11)=29 | | n+59/4=8 | | 3(p+11)=18 | | |4x-5|/2=3x+4 | | 2=-2x+2=4 | | -66/t=11 | | 84/t=-12 | | 34+p=-1 | | s/4=1.75 | | 3(x-2)+1=8 |

Equations solver categories