1/4x+8=2x-1

Simple and best practice solution for 1/4x+8=2x-1 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 1/4x+8=2x-1 equation:



1/4x+8=2x-1
We move all terms to the left:
1/4x+8-(2x-1)=0
Domain of the equation: 4x!=0
x!=0/4
x!=0
x∈R
We get rid of parentheses
1/4x-2x+1+8=0
We multiply all the terms by the denominator
-2x*4x+1*4x+8*4x+1=0
Wy multiply elements
-8x^2+4x+32x+1=0
We add all the numbers together, and all the variables
-8x^2+36x+1=0
a = -8; b = 36; c = +1;
Δ = b2-4ac
Δ = 362-4·(-8)·1
Δ = 1328
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:
$\sqrt{\Delta}=\sqrt{1328}=\sqrt{16*83}=\sqrt{16}*\sqrt{83}=4\sqrt{83}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(36)-4\sqrt{83}}{2*-8}=\frac{-36-4\sqrt{83}}{-16} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(36)+4\sqrt{83}}{2*-8}=\frac{-36+4\sqrt{83}}{-16} $

See similar equations:

| r+17=17 | | 5x-15+2x+21=90 | | (4x=3)/6+x/3=2 | | (4x+3)/6+(x/3)=2 | | 10x+1=6x2 | | 3x+(4x+7)+(4x-14)=180 | | (2x+5)+(2x-5)= | | 16=32-4y | | X+11=3x+8 | | 14-x/3=6 | | (12-x)/2=7 | | 6-13y=-33 | | 5+21+2x=x+18 | | 50x-x^(2/3)-750=0 | | 8(c-13)=-56 | | 5/8x=160 | | 1.05x=50 | | 10x-35=35x+15 | | 5c=5(3c/7)+Y(2c-3(3c/7)) | | 14a=24 | | 5c=5(3c/7)+X*(2c-3(3c/7)) | | 5c=5(3c/7)+X(2c-3(3c/7)) | | 7n-4=0 | | 206-k=92 | | (4b+6)=(b-4) | | 2x=24+x | | 2(x+5)=5(x-4 | | 3x-20=5240 | | k+403/27=27 | | -3w+9-w=12-3w | | -3(n+1=12 | | 154/k=11 |

Equations solver categories