3/4x+5=1/3x-3

Simple and best practice solution for 3/4x+5=1/3x-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+5=1/3x-3 equation:



3/4x+5=1/3x-3
We move all terms to the left:
3/4x+5-(1/3x-3)=0
Domain of the equation: 4x!=0
x!=0/4
x!=0
x∈R
Domain of the equation: 3x-3)!=0
x∈R
We get rid of parentheses
3/4x-1/3x+3+5=0
We calculate fractions
9x/12x^2+(-4x)/12x^2+3+5=0
We add all the numbers together, and all the variables
9x/12x^2+(-4x)/12x^2+8=0
We multiply all the terms by the denominator
9x+(-4x)+8*12x^2=0
Wy multiply elements
96x^2+9x+(-4x)=0
We get rid of parentheses
96x^2+9x-4x=0
We add all the numbers together, and all the variables
96x^2+5x=0
a = 96; b = 5; c = 0;
Δ = b2-4ac
Δ = 52-4·96·0
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-5}{2*96}=\frac{-10}{192} =-5/96 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+5}{2*96}=\frac{0}{192} =0 $

See similar equations:

| g/3+16=28 | | 2.50+0.15x=1.00+20x | | (5x+6)=2(7x-10) | | 3(x-3)+4x=68 | | 2.50+0.15x=1.000.20x | | (5x+6)=(7x-10)*2 | | (7x-10)=2(5x+6) | | 4.50+6x=17.50+4x | | 6x+4+38=90 | | 9s+15s=180 | | 0.75x+4=0.50x+8 | | 40+4y-16=13y=12=3y | | 5(2k+3)=27 | | -3x-8+x=4x+x-10 | | 8(x-1)=-2(x-19) | | Y=11.6x-25 | | 10/8=2z/4 | | 9a-3=42 | | 0.62x-6=0.25x | | -5o+5=60 | | 5(3x+9)-2=15x-2(x+5) | | 9d-13=14 | | -8y-5y=104 | | 12j+15=-51 | | 10a-40=4a-4 | | 20000=8^(t) | | Y=8.3x+43 | | 4x+7=-2x4 | | x+(x-49,550)=289,230 | | x-9=8(2x=3)-18 | | -4x+3=x-6 | | 3x(x+2)-(20-x)=0 |

Equations solver categories