5x^2=1.8

Solution for 5x^2=1.8 equation:

5x^2=1.8

We move all terms to the left:

5x^2-(1.8)=0

We add all the numbers together, and all the variables

5x^2-1.8=0

a = 5; b = 0; c = -1.8;
Δ = b2-4ac
Δ = 02-4·5·(-1.8)
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6}{2*5}=\frac{-6}{10}
=-3/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6}{2*5}=\frac{6}{10}
=3/5
$