500=(200+40t)/(1+0.05t)

Simple and best practice solution for 500=(200+40t)/(1+0.05t) 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 500=(200+40t)/(1+0.05t) equation: 



500=(200+40t)/(1+0.05t)

We move all terms to the left:

500-((200+40t)/(1+0.05t))=0



Domain of the equation: (1+0.05t))!=0

We move all terms containing t to the left, all other terms to the right

0.05t)!=-1

t!=-1/1

t!=-1

t∈R



We add all the numbers together, and all the variables

-((40t+200)/(0.05t+1))+500=0

We multiply all the terms by the denominator


-((40t+200)+500*(0.05t+1))=0



We calculate terms in parentheses: -((40t+200)+500*(0.05t+1)), so:

(40t+200)+500*(0.05t+1)

We multiply parentheses

(40t+200)+0t+500

We get rid of parentheses

40t+0t+200+500

We add all the numbers together, and all the variables

41t+700

Back to the equation:

-(41t+700)



We get rid of parentheses

-41t-700=0

We move all terms containing t to the left, all other terms to the right

-41t=700

t=700/-41

t=-17+3/41

See similar equations:

| 20x+60=30x+20 | | 40=0.5(360-2a) | | 50=0.5(130-x) | | (2)x+10=3x+5 | | 2(x+10)=3x+5 | | 2(x+10)=(3x+5) | | 56=0.5(135+x) | | 56=1/2(135+x) | | -4|7-6x|=14 | | x+x(1.115)=119.99 | | 5n+n^2=0 | | 40=2(p+8) | | -3/7y=-2 | | 67=x+30 | | -x=1/7 | | x+4(2)=8 | | x+4(1)=8 | | 8x-8=4x-6 | | X+50=24-x | | 5x-1=4-8x | | 6x/5-2x=12 | | 3n+8n-4=14+n+7n | | 11m-1+5m=36+65m | | 2(6+3x)+2x=356 | | -1=2(w-3)-7w | | 2(6+6x)+2x=356 | | 9v-6v=15 | | 3x=24*7 | | 1/(x-3)^2-4/x-3-5=0 | | y-(2√y)=4 | | 1-6f=-7f+3 | | .02x+.04(18000-x)=640 |

Equations solver categories