25x^2-30+9=36

Solution for 25x^2-30+9=36 equation:

25x^2-30+9=36

We move all terms to the left:

25x^2-30+9-(36)=0

We add all the numbers together, and all the variables

25x^2-57=0

a = 25; b = 0; c = -57;
Δ = b2-4ac
Δ = 02-4·25·(-57)
Δ = 5700
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{5700}=\sqrt{100*57}=\sqrt{100}*\sqrt{57}=10\sqrt{57}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-10\sqrt{57}}{2*25}=\frac{0-10\sqrt{57}}{50}
=-\frac{10\sqrt{57}}{50}
=-\frac{\sqrt{57}}{5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+10\sqrt{57}}{2*25}=\frac{0+10\sqrt{57}}{50}
=\frac{10\sqrt{57}}{50}
=\frac{\sqrt{57}}{5}
$