36=(x-2)(x-7)

Solution for 36=(x-2)(x-7) equation:

36=(x-2)(x-7)

We move all terms to the left:

36-((x-2)(x-7))=0

We multiply parentheses ..

-((+x^2-7x-2x+14))+36=0


We calculate terms in parentheses: -((+x^2-7x-2x+14)), so:

(+x^2-7x-2x+14)

We get rid of parentheses

x^2-7x-2x+14

We add all the numbers together, and all the variables

x^2-9x+14

Back to the equation:

-(x^2-9x+14)


We get rid of parentheses

-x^2+9x-14+36=0

We add all the numbers together, and all the variables

-1x^2+9x+22=0

a = -1; b = 9; c = +22;
Δ = b2-4ac
Δ = 92-4·(-1)·22
Δ = 169
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{169}=13$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(9)-13}{2*-1}=\frac{-22}{-2}
=+11
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+13}{2*-1}=\frac{4}{-2}
=-2
$