1/4x-3=1/2x

Simple and best practice solution for 1/4x-3=1/2x 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=1/2x equation:



1/4x-3=1/2x
We move all terms to the left:
1/4x-3-(1/2x)=0
Domain of the equation: 4x!=0
x!=0/4
x!=0
x∈R
Domain of the equation: 2x)!=0
x!=0/1
x!=0
x∈R
We add all the numbers together, and all the variables
1/4x-(+1/2x)-3=0
We get rid of parentheses
1/4x-1/2x-3=0
We calculate fractions
2x/8x^2+(-4x)/8x^2-3=0
We multiply all the terms by the denominator
2x+(-4x)-3*8x^2=0
Wy multiply elements
-24x^2+2x+(-4x)=0
We get rid of parentheses
-24x^2+2x-4x=0
We add all the numbers together, and all the variables
-24x^2-2x=0
a = -24; b = -2; c = 0;
Δ = b2-4ac
Δ = -22-4·(-24)·0
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4}=2$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-2}{2*-24}=\frac{0}{-48} =0 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+2}{2*-24}=\frac{4}{-48} =-1/12 $

See similar equations:

| b+10=20-b | | 18d−13−15d=20+14d | | 4/6x—2x+8/3=4/3 | | 5p+11=4p | | 7/11x=4/11= | | x^2-9x-16=2 | | 2x–9–5x=9 | | 5r+6+3=(r+2) | | 3.9−|2+x|=−2.8. | | (6x+25)=10x-11. | | C(x)=0.3+22,000 | | 1/5(x)+1/7(x)=12 | | 6(1.02^(5x+1))=15 | | 20-2x=17-7x | | -4+x-1=12 | | -5x+13(-3)=-7 | | -7-10x=85 | | 2x+18-12=0 | | 2u+6=26 | | 4(x+12)=10 | | 2n/n=150 | | 2a+20=50 | | 2x^2+7x=12-x | | -4w+12=-2(w-1) | | -8(w-8)=7w+4 | | -7u-25=5(u+7) | | 108s5=1.34*10-34 | | 36=7(y+2)+4y | | x/45=110/61 | | 6(x-2)+3x=24 | | -6w+2(w+6)=-4 | | 7x-17=55 |

Equations solver categories