5x(x=600)

Solution for 5x(x=600) equation:

5x(x=600)

We move all terms to the left:

5x(x-(600))=0

We multiply parentheses

5x^2-3000x=0

a = 5; b = -3000; c = 0;
Δ = b2-4ac
Δ = -30002-4·5·0
Δ = 9000000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9000000}=3000$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3000)-3000}{2*5}=\frac{0}{10}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3000)+3000}{2*5}=\frac{6000}{10}
=600
$