6x*6x=54+15x

Solution for 6x*6x=54+15x equation:

6x*6x=54+15x

We move all terms to the left:

6x*6x-(54+15x)=0

We add all the numbers together, and all the variables

6x*6x-(15x+54)=0

Wy multiply elements

36x^2-(15x+54)=0

We get rid of parentheses

36x^2-15x-54=0

a = 36; b = -15; c = -54;
Δ = b2-4ac
Δ = -152-4·36·(-54)
Δ = 8001
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{8001}=\sqrt{9*889}=\sqrt{9}*\sqrt{889}=3\sqrt{889}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-15)-3\sqrt{889}}{2*36}=\frac{15-3\sqrt{889}}{72}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-15)+3\sqrt{889}}{2*36}=\frac{15+3\sqrt{889}}{72}
$