x=25x^2+750x

Solution for x=25x^2+750x equation:

x=25x^2+750x

We move all terms to the left:

x-(25x^2+750x)=0

We get rid of parentheses

-25x^2+x-750x=0

We add all the numbers together, and all the variables

-25x^2-749x=0

a = -25; b = -749; c = 0;
Δ = b2-4ac
Δ = -7492-4·(-25)·0
Δ = 561001
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{561001}=749$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-749)-749}{2*-25}=\frac{0}{-50}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-749)+749}{2*-25}=\frac{1498}{-50}
=-29+24/25
$