(X-6)(250-5x)=0

Solution for (X-6)(250-5x)=0 equation:

(X-6)(250-5X)=0

We add all the numbers together, and all the variables

(X-6)(-5X+250)=0

We multiply parentheses ..

(-5X^2+250X+30X-1500)=0

We get rid of parentheses

-5X^2+250X+30X-1500=0

We add all the numbers together, and all the variables

-5X^2+280X-1500=0

a = -5; b = 280; c = -1500;
Δ = b2-4ac
Δ = 2802-4·(-5)·(-1500)
Δ = 48400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{48400}=220$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(280)-220}{2*-5}=\frac{-500}{-10}
=+50
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(280)+220}{2*-5}=\frac{-60}{-10}
=+6
$