15t(5t-1)=0

Solution for 15t(5t-1)=0 equation:

15t(5t-1)=0

We multiply parentheses

75t^2-15t=0

a = 75; b = -15; c = 0;
Δ = b2-4ac
Δ = -152-4·75·0
Δ = 225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{225}=15$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-15)-15}{2*75}=\frac{0}{150}
=0
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-15)+15}{2*75}=\frac{30}{150}
=1/5
$