X+2/3x=75

Simple and best practice solution for X+2/3x=75 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 X+2/3x=75 equation: 



X+2/3X=75

We move all terms to the left:

X+2/3X-(75)=0



Domain of the equation: 3X!=0

X!=0/3

X!=0

X∈R



We multiply all the terms by the denominator


X*3X-75*3X+2=0

Wy multiply elements

3X^2-225X+2=0

a = 3; b = -225; c = +2;
Δ = b2-4ac
Δ = -2252-4·3·2
Δ = 50601
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-225)-\sqrt{50601}}{2*3}=\frac{225-\sqrt{50601}}{6}
$


$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-225)+\sqrt{50601}}{2*3}=\frac{225+\sqrt{50601}}{6}
$

See similar equations:

| 5(x–6)=65 | | 9b-10=7b | | 2b+42=143 | | -54=-9-2n | | 2x-1=5x−3 | | -j+9=-6-4j | | 3−9(m+3)=−9m−24 | | 2n-12=-8 | | -4.4-x(x-4)=3.8x-5.1 | | 9u=4+8u | | -9x+4=-8x+3 | | 4(a–3)=22 | | y-25=150 | | 7q=-10+6q | | m+5/1/4=12 | | 5x+34+8x+18=88 | | x2-24x=300 | | -8m-6=-7m | | 0.6y=1.2 | | m-38=18 | | y-0.56=15.2 | | c÷10-c÷7=-9 | | 5x+15=64-5x | | x/3=17x= | | x²=-9 | | 5–m=12 | | 200*1,06^x=500 | | 1/10-c/7=-9 | | d÷2=9.5 | | 8b=64*2 | | 60=90x+50 | | x+3.2=-2.7 |

Equations solver categories