X2+5x-32=2x-4

Solution for X2+5x-32=2x-4 equation:

X2+5X-32=2X-4

We move all terms to the left:

X2+5X-32-(2X-4)=0

We add all the numbers together, and all the variables

X^2+5X-(2X-4)-32=0

We get rid of parentheses

X^2+5X-2X+4-32=0

We add all the numbers together, and all the variables

X^2+3X-28=0

a = 1; b = 3; c = -28;
Δ = b2-4ac
Δ = 32-4·1·(-28)
Δ = 121
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{121}=11$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-11}{2*1}=\frac{-14}{2}
=-7
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+11}{2*1}=\frac{8}{2}
=4
$