7200=x(x+60)

Solution for 7200=x(x+60) equation:

7200=x(x+60)

We move all terms to the left:

7200-(x(x+60))=0


We calculate terms in parentheses: -(x(x+60)), so:

x(x+60)

We multiply parentheses

x^2+60x

Back to the equation:

-(x^2+60x)


We get rid of parentheses

-x^2-60x+7200=0

We add all the numbers together, and all the variables

-1x^2-60x+7200=0

a = -1; b = -60; c = +7200;
Δ = b2-4ac
Δ = -602-4·(-1)·7200
Δ = 32400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{32400}=180$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-60)-180}{2*-1}=\frac{-120}{-2}
=+60
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-60)+180}{2*-1}=\frac{240}{-2}
=-120
$