6x(10+6x)=154

Solution for 6x(10+6x)=154 equation:

6x(10+6x)=154

We move all terms to the left:

6x(10+6x)-(154)=0

We add all the numbers together, and all the variables

6x(6x+10)-154=0

We multiply parentheses

36x^2+60x-154=0

a = 36; b = 60; c = -154;
Δ = b2-4ac
Δ = 602-4·36·(-154)
Δ = 25776
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:

$\sqrt{\Delta}=\sqrt{25776}=\sqrt{144*179}=\sqrt{144}*\sqrt{179}=12\sqrt{179}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(60)-12\sqrt{179}}{2*36}=\frac{-60-12\sqrt{179}}{72}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(60)+12\sqrt{179}}{2*36}=\frac{-60+12\sqrt{179}}{72}
$