264=4x^2-100x+600

Solution for 264=4x^2-100x+600 equation:

264=4x^2-100x+600

We move all terms to the left:

264-(4x^2-100x+600)=0

We get rid of parentheses

-4x^2+100x-600+264=0

We add all the numbers together, and all the variables

-4x^2+100x-336=0

a = -4; b = 100; c = -336;
Δ = b2-4ac
Δ = 1002-4·(-4)·(-336)
Δ = 4624
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4624}=68$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(100)-68}{2*-4}=\frac{-168}{-8}
=+21
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(100)+68}{2*-4}=\frac{-32}{-8}
=+4
$