9/4x(4-3)=9x+11

Simple and best practice solution for 9/4x(4-3)=9x+11 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 9/4x(4-3)=9x+11 equation:



9/4x(4-3)=9x+11
We move all terms to the left:
9/4x(4-3)-(9x+11)=0
Domain of the equation: 4x(4-3)!=0
x∈R
We add all the numbers together, and all the variables
9/4x1-(9x+11)=0
We get rid of parentheses
9/4x1-9x-11=0
We multiply all the terms by the denominator
-9x*4x1-11*4x1+9=0
Wy multiply elements
-36x^2-44x+9=0
a = -36; b = -44; c = +9;
Δ = b2-4ac
Δ = -442-4·(-36)·9
Δ = 3232
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:
$\sqrt{\Delta}=\sqrt{3232}=\sqrt{16*202}=\sqrt{16}*\sqrt{202}=4\sqrt{202}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-44)-4\sqrt{202}}{2*-36}=\frac{44-4\sqrt{202}}{-72} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-44)+4\sqrt{202}}{2*-36}=\frac{44+4\sqrt{202}}{-72} $

See similar equations:

| 27-k=2k | | 0.2(x-1)+0.5x=-0.3(x-4) | | 7v+23=-4(v+8) | | 2(w-1)+4w=3(w-1)+8 | | 150m+100m+43.875=45.450-175m | | 8x-10+8=20-6 | | 6x+6+7x=32 | | -2(w+6)=4w+36 | | 3t-18=4-3-34t | | 150m-100m+43.875=45.450-175m | | -5x+18=-2(x-6) | | 5x+8-3x=2+10 | | (6d-6d)=0 | | 5a=5×2 | | 7x+9=-3x+99 | | x3=1/100 | | 5x+8-3x=2- | | )6=2(y+2) | | 2(3x+1)=8x+1 | | 5(u-2)-2=-3(-7u+8)+8u | | 4(6×-4)=8(3x+6) | | -3/4j+5=-16 | | X-13=9-x | | 5^(3-x)=12 | | 5x-8=x+2(x-2) | | 13x=2600 | | 27x^2-54x+5=0 | | 3x+2x-10=13-8 | | x+4=2-(1/3)x | | g/2-3=4 | | 1/(2^x)=5 | | 2x-5x-14=3x+3-14 |

Equations solver categories