3.14x(6x+8)=

Solution for 3.14x(6x+8)= equation:

3.14x(6x+8)=

We move all terms to the left:

3.14x(6x+8)-()=0

We add all the numbers together, and all the variables

3.14x(6x+8)=0

We multiply parentheses

18x^2+24x=0

a = 18; b = 24; c = 0;
Δ = b2-4ac
Δ = 242-4·18·0
Δ = 576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{576}=24$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(24)-24}{2*18}=\frac{-48}{36}
=-1+1/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(24)+24}{2*18}=\frac{0}{36}
=0
$