1.3(8-b)2.7b=-5.2

Solution for 1.3(8-b)2.7b=-5.2 equation:

1.3(8-b)2.7b=-5.2

We move all terms to the left:

1.3(8-b)2.7b-(-5.2)=0

We add all the numbers together, and all the variables

1.3(-1b+8)2.7b-(-5.2)=0

We add all the numbers together, and all the variables

1.3(-1b+8)2.7b+5.2=0

We multiply parentheses

-2b^2+16b+5.2=0

a = -2; b = 16; c = +5.2;
Δ = b2-4ac
Δ = 162-4·(-2)·5.2
Δ = 297.6
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(16)-\sqrt{297.6}}{2*-2}=\frac{-16-\sqrt{297.6}}{-4}
$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(16)+\sqrt{297.6}}{2*-2}=\frac{-16+\sqrt{297.6}}{-4}
$