1.6x^2+6.8x=5

Solution for 1.6x^2+6.8x=5 equation:

1.6x^2+6.8x=5

We move all terms to the left:

1.6x^2+6.8x-(5)=0

a = 1.6; b = 6.8; c = -5;
Δ = b2-4ac
Δ = 6.82-4·1.6·(-5)
Δ = 78.24
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6.8)-\sqrt{78.24}}{2*1.6}=\frac{-6.8-\sqrt{78.24}}{3.2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6.8)+\sqrt{78.24}}{2*1.6}=\frac{-6.8+\sqrt{78.24}}{3.2}
$