X2-17x+27=-6x+3

Solution for X2-17x+27=-6x+3 equation:

X2-17X+27=-6X+3

We move all terms to the left:

X2-17X+27-(-6X+3)=0

We add all the numbers together, and all the variables

X^2-17X-(-6X+3)+27=0

We get rid of parentheses

X^2-17X+6X-3+27=0

We add all the numbers together, and all the variables

X^2-11X+24=0

a = 1; b = -11; c = +24;
Δ = b2-4ac
Δ = -112-4·1·24
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-11)-5}{2*1}=\frac{6}{2}
=3
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+5}{2*1}=\frac{16}{2}
=8
$