-3(5x-2)4x+5=-11

Solution for -3(5x-2)4x+5=-11 equation:

-3(5x-2)4x+5=-11

We move all terms to the left:

-3(5x-2)4x+5-(-11)=0

We add all the numbers together, and all the variables

-3(5x-2)4x+16=0

We multiply parentheses

-60x^2+24x+16=0

a = -60; b = 24; c = +16;
Δ = b2-4ac
Δ = 242-4·(-60)·16
Δ = 4416
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:

$\sqrt{\Delta}=\sqrt{4416}=\sqrt{64*69}=\sqrt{64}*\sqrt{69}=8\sqrt{69}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(24)-8\sqrt{69}}{2*-60}=\frac{-24-8\sqrt{69}}{-120}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(24)+8\sqrt{69}}{2*-60}=\frac{-24+8\sqrt{69}}{-120}
$