X-4x(x+3)=3

Solution for X-4x(x+3)=3 equation:

X-4X(X+3)=3

We move all terms to the left:

X-4X(X+3)-(3)=0

We multiply parentheses

-4X^2+X-12X-3=0

We add all the numbers together, and all the variables

-4X^2-11X-3=0

a = -4; b = -11; c = -3;
Δ = b2-4ac
Δ = -112-4·(-4)·(-3)
Δ = 73
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-11)-\sqrt{73}}{2*-4}=\frac{11-\sqrt{73}}{-8}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+\sqrt{73}}{2*-4}=\frac{11+\sqrt{73}}{-8}
$