5k^2+3k=1.4

Solution for 5k^2+3k=1.4 equation:

5k^2+3k=1.4

We move all terms to the left:

5k^2+3k-(1.4)=0

We add all the numbers together, and all the variables

5k^2+3k-1.4=0

a = 5; b = 3; c = -1.4;
Δ = b2-4ac
Δ = 32-4·5·(-1.4)
Δ = 37
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-\sqrt{37}}{2*5}=\frac{-3-\sqrt{37}}{10}
$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{37}}{2*5}=\frac{-3+\sqrt{37}}{10}
$