x=(5x-72)*(5x-72)

Solution for x=(5x-72)*(5x-72) equation:

x=(5x-72)(5x-72)

We move all terms to the left:

x-((5x-72)(5x-72))=0

We multiply parentheses ..

-((+25x^2-360x-360x+5184))+x=0


We calculate terms in parentheses: -((+25x^2-360x-360x+5184)), so:

(+25x^2-360x-360x+5184)

We get rid of parentheses

25x^2-360x-360x+5184

We add all the numbers together, and all the variables

25x^2-720x+5184

Back to the equation:

-(25x^2-720x+5184)


We add all the numbers together, and all the variables

x-(25x^2-720x+5184)=0

We get rid of parentheses

-25x^2+x+720x-5184=0

We add all the numbers together, and all the variables

-25x^2+721x-5184=0

a = -25; b = 721; c = -5184;
Δ = b2-4ac
Δ = 7212-4·(-25)·(-5184)
Δ = 1441
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(721)-\sqrt{1441}}{2*-25}=\frac{-721-\sqrt{1441}}{-50}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(721)+\sqrt{1441}}{2*-25}=\frac{-721+\sqrt{1441}}{-50}
$