135=x(x-6)

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Solution for 135=x(x-6) equation: 



135=x(x-6)

We move all terms to the left:

135-(x(x-6))=0



We calculate terms in parentheses: -(x(x-6)), so:

x(x-6)

We multiply parentheses

x^2-6x

Back to the equation:

-(x^2-6x)



We get rid of parentheses

-x^2+6x+135=0

We add all the numbers together, and all the variables

-1x^2+6x+135=0

a = -1; b = 6; c = +135;
Δ = b2-4ac
Δ = 62-4·(-1)·135
Δ = 576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{576}=24$


$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-24}{2*-1}=\frac{-30}{-2}
=+15
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+24}{2*-1}=\frac{18}{-2}
=-9
$

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