X+3(2x+7)X=0

Solution for X+3(2x+7)X=0 equation:

X+3(2X+7)X=0

We multiply parentheses

6X^2+X+21X=0

We add all the numbers together, and all the variables

6X^2+22X=0

a = 6; b = 22; c = 0;
Δ = b2-4ac
Δ = 222-4·6·0
Δ = 484
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{484}=22$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(22)-22}{2*6}=\frac{-44}{12}
=-3+2/3
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(22)+22}{2*6}=\frac{0}{12}
=0
$