1/4x+3=1/8x+1

Simple and best practice solution for 1/4x+3=1/8x+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+3=1/8x+1 equation:



1/4x+3=1/8x+1
We move all terms to the left:
1/4x+3-(1/8x+1)=0
Domain of the equation: 4x!=0
x!=0/4
x!=0
x∈R
Domain of the equation: 8x+1)!=0
x∈R
We get rid of parentheses
1/4x-1/8x-1+3=0
We calculate fractions
8x/32x^2+(-4x)/32x^2-1+3=0
We add all the numbers together, and all the variables
8x/32x^2+(-4x)/32x^2+2=0
We multiply all the terms by the denominator
8x+(-4x)+2*32x^2=0
Wy multiply elements
64x^2+8x+(-4x)=0
We get rid of parentheses
64x^2+8x-4x=0
We add all the numbers together, and all the variables
64x^2+4x=0
a = 64; b = 4; c = 0;
Δ = b2-4ac
Δ = 42-4·64·0
Δ = 16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16}=4$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-4}{2*64}=\frac{-8}{128} =-1/16 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+4}{2*64}=\frac{0}{128} =0 $

See similar equations:

| -6x=10x+2 | | (5-2i2)2=0 | | v+11/10=2 | | 4(1x+6)=40 | | 2(7x+9)=88 | | 2^m=27 | | 87=6v+21 | | 2(17x-3)(4x+13)=0 | | 87=6v | | 7(1x+2)=70 | | 22-4v=14 | | 39=(2x+5)+(x-3)+(3x+1) | | 9=21-4p | | 0.4x+1.6=-1.6+53.2 | | 55=1/2-76+x | | 6x-(5x+5)=-8-2(x/12) | | x+5=-25+7x | | 5x+2=2-9x | | 9^n=8 | | 3x+9+4x+x=14x+2 | | X2-12x-12=0 | | 8(x5)=7(x+8) | | 2x-4=-6x+2 | | 6x^2+19x-15=-4x | | (V-4/v-5)+1=(v+3/v+1) | | 20u+19=9u+19+11u | | 2m2-2m+-12=0 | | 8^x/3=416 | | -(-7+2x)=3 | | -x-5=-3x+59 | | -7x+2=3x-4 | | h/5-0.5=-3.5 |

Equations solver categories