X2-4x-57=-2x-9

Solution for X2-4x-57=-2x-9 equation:

X2-4X-57=-2X-9

We move all terms to the left:

X2-4X-57-(-2X-9)=0

We add all the numbers together, and all the variables

X^2-4X-(-2X-9)-57=0

We get rid of parentheses

X^2-4X+2X+9-57=0

We add all the numbers together, and all the variables

X^2-2X-48=0

a = 1; b = -2; c = -48;
Δ = b2-4ac
Δ = -22-4·1·(-48)
Δ = 196
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{196}=14$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-14}{2*1}=\frac{-12}{2}
=-6
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+14}{2*1}=\frac{16}{2}
=8
$