1/4x+1/6x=48

Simple and best practice solution for 1/4x+1/6x=48 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+1/6x=48 equation: 



1/4x+1/6x=48

We move all terms to the left:

1/4x+1/6x-(48)=0



Domain of the equation: 4x!=0

x!=0/4

x!=0

x∈R





Domain of the equation: 6x!=0

x!=0/6

x!=0

x∈R



We calculate fractions


6x/24x^2+4x/24x^2-48=0

We multiply all the terms by the denominator


6x+4x-48*24x^2=0

We add all the numbers together, and all the variables

10x-48*24x^2=0

Wy multiply elements

-1152x^2+10x=0

a = -1152; b = 10; c = 0;
Δ = b2-4ac
Δ = 102-4·(-1152)·0
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{100}=10$


$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-10}{2*-1152}=\frac{-20}{-2304}
=5/576
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+10}{2*-1152}=\frac{0}{-2304}
=0
$

See similar equations:

| 4n+5-7n=-19 | | 12=5x+6+1 | | 15+4y=-36 | | -5n+15=-4n-8 | | b+20=3 | | 5.5-x=+4.5-x | | 9.24(0.7a+1.7)=9.39a+33.24. | | 2(n-3)=4,n+1 | | 4(x-3)/3=12 | | 2.67=q/2 | | 8(n-4)-2(3+4n)=4 | | M/7-9=-5m= | | q/29=25 | | -34-(-22)=x/12 | | z+55=989 | | 8k+4k-17=34-5k | | 2b=24+3b | | 12x×2x= | | 7/17=v/5 | | 2x^2-9x+66=0 | | y+991=965 | | 10-12+11x=20 | | 6*5=(x*5)/(x*5) | | 8(u-6)=-5u-22 | | m/15=30 | | j−845=3 | | -5x+34=-2(x-5) | | 2x^2+4x^2=90 | | -3p=-678 | | x+4=1/2(x-3) | | 17=5+w/3 | | -4(x+2)=-7x-23 |

Equations solver categories