625=(y+49)*(y+49)

Solution for 625=(y+49)*(y+49) equation:

625=(y+49)(y+49)

We move all terms to the left:

625-((y+49)(y+49))=0

We multiply parentheses ..

-((+y^2+49y+49y+2401))+625=0


We calculate terms in parentheses: -((+y^2+49y+49y+2401)), so:

(+y^2+49y+49y+2401)

We get rid of parentheses

y^2+49y+49y+2401

We add all the numbers together, and all the variables

y^2+98y+2401

Back to the equation:

-(y^2+98y+2401)


We get rid of parentheses

-y^2-98y-2401+625=0

We add all the numbers together, and all the variables

-1y^2-98y-1776=0

a = -1; b = -98; c = -1776;
Δ = b2-4ac
Δ = -982-4·(-1)·(-1776)
Δ = 2500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2500}=50$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-98)-50}{2*-1}=\frac{48}{-2}
=-24
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-98)+50}{2*-1}=\frac{148}{-2}
=-74
$