7(11-2y)2y=-13

Solution for 7(11-2y)2y=-13 equation:

7(11-2y)2y=-13

We move all terms to the left:

7(11-2y)2y-(-13)=0

We add all the numbers together, and all the variables

7(-2y+11)2y-(-13)=0

We add all the numbers together, and all the variables

7(-2y+11)2y+13=0

We multiply parentheses

-28y^2+154y+13=0

a = -28; b = 154; c = +13;
Δ = b2-4ac
Δ = 1542-4·(-28)·13
Δ = 25172
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{25172}=\sqrt{4*6293}=\sqrt{4}*\sqrt{6293}=2\sqrt{6293}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(154)-2\sqrt{6293}}{2*-28}=\frac{-154-2\sqrt{6293}}{-56}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(154)+2\sqrt{6293}}{2*-28}=\frac{-154+2\sqrt{6293}}{-56}
$