X(-10x+3)=-27

Solution for X(-10x+3)=-27 equation:

X(-10X+3)=-27

We move all terms to the left:

X(-10X+3)-(-27)=0

We add all the numbers together, and all the variables

X(-10X+3)+27=0

We multiply parentheses

-10X^2+3X+27=0

a = -10; b = 3; c = +27;
Δ = b2-4ac
Δ = 32-4·(-10)·27
Δ = 1089
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1089}=33$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-33}{2*-10}=\frac{-36}{-20}
=1+4/5
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+33}{2*-10}=\frac{30}{-20}
=-1+1/2
$