300-25x=2x*x

Solution for 300-25x=2x*x equation:

300-25x=2x*x

We move all terms to the left:

300-25x-(2x*x)=0

We add all the numbers together, and all the variables

-25x-(+2x*x)+300=0

We get rid of parentheses

-25x-2x*x+300=0

Wy multiply elements

-2x^2-25x+300=0

a = -2; b = -25; c = +300;
Δ = b2-4ac
Δ = -252-4·(-2)·300
Δ = 3025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3025}=55$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-25)-55}{2*-2}=\frac{-30}{-4}
=7+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-25)+55}{2*-2}=\frac{80}{-4}
=-20
$