3/4x=1/2x+3

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



3/4x=1/2x+3
We move all terms to the left:
3/4x-(1/2x+3)=0
Domain of the equation: 4x!=0
x!=0/4
x!=0
x∈R
Domain of the equation: 2x+3)!=0
x∈R
We get rid of parentheses
3/4x-1/2x-3=0
We calculate fractions
6x/8x^2+(-4x)/8x^2-3=0
We multiply all the terms by the denominator
6x+(-4x)-3*8x^2=0
Wy multiply elements
-24x^2+6x+(-4x)=0
We get rid of parentheses
-24x^2+6x-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{-4}{-48} =1/12 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+2}{2*-24}=\frac{0}{-48} =0 $

See similar equations:

| 5f+7=6f | | -y-y-7=4y-7 | | 3q-9=4q | | 3q−9=4q | | P=60-0.0004x | | -10+b=10-b | | -8n=5-9n | | 3(u+3)=8u+29 | | p+(-14)=-3 | | 3p-5-3p=1+6p | | -11=4(w-2)-7w | | 10r+8=-4+8r | | -8q=-7q+8 | | k/2-2=2 | | 1-9b=-10b+9 | | 2h+6/h=7 | | 1−9b=-10b+9 | | 5(x+20)=7x+70 | | x/3+7=33 | | 5x+9=12x-28 | | |2x+9|=9 | | 147-x=27 | | 12(x-3)=8x+4 | | 6(m-1)+3(1-2m)=0 | | 20-5(p+1)+3p=(-2p-15) | | -5(v+3)+2v+6=8v+7 | | 18h−10h+-14=18 | | x^2+x^2-108-180=0 | | 62-y=288 | | 12(x+3)=8x+4 | | 6(x-9)=23 | | (2a+4)=(3a-6) |

Equations solver categories