x-3/4x=4.5

Simple and best practice solution for x-3/4x=4.5 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-3/4x=4.5 equation:



x-3/4x=4.5
We move all terms to the left:
x-3/4x-(4.5)=0
Domain of the equation: 4x!=0
x!=0/4
x!=0
x∈R
We add all the numbers together, and all the variables
x-3/4x-4.5=0
We multiply all the terms by the denominator
x*4x-(4.5)*4x-3=0
We multiply parentheses
x*4x-18x-3=0
Wy multiply elements
4x^2-18x-3=0
a = 4; b = -18; c = -3;
Δ = b2-4ac
Δ = -182-4·4·(-3)
Δ = 372
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{372}=\sqrt{4*93}=\sqrt{4}*\sqrt{93}=2\sqrt{93}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-18)-2\sqrt{93}}{2*4}=\frac{18-2\sqrt{93}}{8} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-18)+2\sqrt{93}}{2*4}=\frac{18+2\sqrt{93}}{8} $

See similar equations:

| (2/3×9a)+(2/3×6)=25.6 | | 5(x=2)=3x-8 | | 12=x2 | | 24=3h+6 | | 5x+15+48+90=180 | | 3a+36+1=2a-8 | | 2(3x-7)=31 | | 4r–15=–35 | | ­‐6=n‐11 | | 6a+48=60 | | −87​ x−6=−83​ x−14 | | ­‐6=n-‐11 | | 3(2x-4x)=9+3x(4x+2) | | (11n+8)-2n=89 | | -19x=-18x-x | | 4(3y+5)=8y | | x²+23x-50=0 | | 2a(a=10)+3 | | 1.50(6+x)=46.50 | | 3(9y-5)+4/2=10*5(y-5) | | 11/5x=-4/5 | | 11q-8q-1=20 | | x/(-1.5)=21 | | -1350+X-0.01x=4000 | | 3x+27+6x=9 | | w+2w+1w=8 | | x+-3/8=-1/12 | | 5x-33=6x-14 | | 5x^2-13=22 | | 12=v-3 | | 9=20r | | 15x2-17x+4=0 |

Equations solver categories