x2=5(x+360)

Solution for x2=5(x+360) equation:

x2=5(x+360)

We move all terms to the left:

x2-(5(x+360))=0

We add all the numbers together, and all the variables

x^2-(5(x+360))=0


We calculate terms in parentheses: -(5(x+360)), so:

5(x+360)

We multiply parentheses

5x+1800

Back to the equation:

-(5x+1800)


We get rid of parentheses

x^2-5x-1800=0

a = 1; b = -5; c = -1800;
Δ = b2-4ac
Δ = -52-4·1·(-1800)
Δ = 7225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{7225}=85$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5)-85}{2*1}=\frac{-80}{2}
=-40
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+85}{2*1}=\frac{90}{2}
=45
$