-7(2y-1)15y=-11

Solution for -7(2y-1)15y=-11 equation:

-7(2y-1)15y=-11

We move all terms to the left:

-7(2y-1)15y-(-11)=0

We add all the numbers together, and all the variables

-7(2y-1)15y+11=0

We multiply parentheses

-210y^2+105y+11=0

a = -210; b = 105; c = +11;
Δ = b2-4ac
Δ = 1052-4·(-210)·11
Δ = 20265
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(105)-\sqrt{20265}}{2*-210}=\frac{-105-\sqrt{20265}}{-420}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(105)+\sqrt{20265}}{2*-210}=\frac{-105+\sqrt{20265}}{-420}
$