(30r*30r)-19r=63

Solution for (30r*30r)-19r=63 equation:

(30r*30r)-19r=63

We move all terms to the left:

(30r*30r)-19r-(63)=0

We add all the numbers together, and all the variables

(+30r*30r)-19r-63=0

We add all the numbers together, and all the variables

-19r+(+30r*30r)-63=0

We get rid of parentheses

-19r+30r*30r-63=0

Wy multiply elements

900r^2-19r-63=0

a = 900; b = -19; c = -63;
Δ = b2-4ac
Δ = -192-4·900·(-63)
Δ = 227161
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-19)-\sqrt{227161}}{2*900}=\frac{19-\sqrt{227161}}{1800}
$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-19)+\sqrt{227161}}{2*900}=\frac{19+\sqrt{227161}}{1800}
$