2x2=75x-x2

Solution for 2x2=75x-x2 equation:

2x^2=75x-x2

We move all terms to the left:

2x^2-(75x-x2)=0

We add all the numbers together, and all the variables

2x^2-(+75x-1x^2)=0

We get rid of parentheses

2x^2+1x^2-75x=0

We add all the numbers together, and all the variables

3x^2-75x=0

a = 3; b = -75; c = 0;
Δ = b2-4ac
Δ = -752-4·3·0
Δ = 5625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5625}=75$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-75)-75}{2*3}=\frac{0}{6}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-75)+75}{2*3}=\frac{150}{6}
=25
$