x(3x+11)-3(xxx+9)=28

Simple and best practice solution for x(3x+11)-3(xxx+9)=28 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(3x+11)-3(xxx+9)=28 equation:



x(3x+11)-3(xxx+9)=28
We move all terms to the left:
x(3x+11)-3(xxx+9)-(28)=0
We multiply parentheses
3x^2+11x-3x-27-28=0
We add all the numbers together, and all the variables
3x^2+8x-55=0
a = 3; b = 8; c = -55;
Δ = b2-4ac
Δ = 82-4·3·(-55)
Δ = 724
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:
$\sqrt{\Delta}=\sqrt{724}=\sqrt{4*181}=\sqrt{4}*\sqrt{181}=2\sqrt{181}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8)-2\sqrt{181}}{2*3}=\frac{-8-2\sqrt{181}}{6} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+2\sqrt{181}}{2*3}=\frac{-8+2\sqrt{181}}{6} $

See similar equations:

| 13w^2+38w-3=0 | | 4x-13=73 | | x^2+4x=153 | | 11x+7=-3 | | 175^2+288^2=c^2 | | x*1.81-x=68 | | x*2.47-x=31 | | x*1.66-x=12 | | x*1.8-x=5 | | x*1.87-x=5 | | x*1.54-x=5 | | 1/12=1/v-1/18 | | x*1.34-x=52500 | | x*2.04-x=44512 | | x*2.7-x=24672 | | x*3.1-x=10000 | | x*1.39-x=14.6 | | x*2.08-x=5 | | x*1.3-x=204 | | x*1.81-x=165.5 | | x*2.47-x=92.5 | | x*1.66-x=32.5 | | x*1.8-x=10 | | x*1.2-x=330 | | x*1.2-x=60 | | x.1.2-x=70 | | x*1.2-x=10 | | x*1.2=10 | | x/3-x-1/5=7 | | 2^(5x-4)=16^(x+3) | | 0.25^(3x-10)=4 | | 5(x+8)=6(x-4) |

Equations solver categories