7x^2-22=371.75

Solution for 7x^2-22=371.75 equation:

7x^2-22=371.75

We move all terms to the left:

7x^2-22-(371.75)=0

We add all the numbers together, and all the variables

7x^2-393.75=0

a = 7; b = 0; c = -393.75;
Δ = b2-4ac
Δ = 02-4·7·(-393.75)
Δ = 11025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{11025}=105$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-105}{2*7}=\frac{-105}{14}
=-7+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+105}{2*7}=\frac{105}{14}
=7+1/2
$