1/2x+20=x-10

Simple and best practice solution for 1/2x+20=x-10 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 1/2x+20=x-10 equation:



1/2x+20=x-10
We move all terms to the left:
1/2x+20-(x-10)=0
Domain of the equation: 2x!=0
x!=0/2
x!=0
x∈R
We get rid of parentheses
1/2x-x+10+20=0
We multiply all the terms by the denominator
-x*2x+10*2x+20*2x+1=0
Wy multiply elements
-2x^2+20x+40x+1=0
We add all the numbers together, and all the variables
-2x^2+60x+1=0
a = -2; b = 60; c = +1;
Δ = b2-4ac
Δ = 602-4·(-2)·1
Δ = 3608
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{3608}=\sqrt{4*902}=\sqrt{4}*\sqrt{902}=2\sqrt{902}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(60)-2\sqrt{902}}{2*-2}=\frac{-60-2\sqrt{902}}{-4} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(60)+2\sqrt{902}}{2*-2}=\frac{-60+2\sqrt{902}}{-4} $

See similar equations:

| 11^(5x-2)=5 | | 9x^2+2x–152=0 | | 8n-11=2(12n+5) | | 4e+7=2e+21 | | 4(2m+6)-5m=48 | | 8-2(3h+)=2h | | n/32=3/4 | | 1/2x+12=2x-10 | | 6(3h+5)=2h | | 3x−4​=61+x​ | | 7(2y-3)=y+5 | | 12t-9=5t-2 | | |4k+5|=|3k-3| | | |4k+5|=|3k-3 | | 5a-7=8a+8 | | 1/3d+1/3d+7=13 | | 7r+5-3r=2+4r-3 | | x+2=2x-2x | | 14x-83=4x+22 | | 4(2x-2)=10=8(x+1) | | 6y+4+3y+6=82 | | 2(4x+3)=7x=5 | | 7x-3=5x+78 | | 1/5d+5+2/5d=8 | | 12-4a=10 | | 18=-6+2y+y | | 4x+7(23+76)=x+1.340 | | 6=8+y4+3+y8 | | 12x-21=9x+78 | | (-20/2X)^2-x^2=21 | | X=26n+35= | | X=26n |

Equations solver categories