y(y+49)=0

Solution for y(y+49)=0 equation:

y(y+49)=0

We multiply parentheses

y^2+49y=0

a = 1; b = 49; c = 0;
Δ = b2-4ac
Δ = 492-4·1·0
Δ = 2401
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2401}=49$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(49)-49}{2*1}=\frac{-98}{2}
=-49
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(49)+49}{2*1}=\frac{0}{2}
=0
$