(2x+5)6x-1)=120

Solution for (2x+5)6x-1)=120 equation:

(2x+5)6x-1)=120

We move all terms to the left:

(2x+5)6x-1)-(120)=0

We add all the numbers together, and all the variables

(2x+5)6x=0

We multiply parentheses

12x^2+30x=0

a = 12; b = 30; c = 0;
Δ = b2-4ac
Δ = 302-4·12·0
Δ = 900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{900}=30$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(30)-30}{2*12}=\frac{-60}{24}
=-2+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+30}{2*12}=\frac{0}{24}
=0
$