30x^2-30x=-1.4

Solution for 30x^2-30x=-1.4 equation:

30x^2-30x=-1.4

We move all terms to the left:

30x^2-30x-(-1.4)=0

We add all the numbers together, and all the variables

30x^2-30x+1.4=0

a = 30; b = -30; c = +1.4;
Δ = b2-4ac
Δ = -302-4·30·1.4
Δ = 732
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{732}=\sqrt{4*183}=\sqrt{4}*\sqrt{183}=2\sqrt{183}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-30)-2\sqrt{183}}{2*30}=\frac{30-2\sqrt{183}}{60}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30)+2\sqrt{183}}{2*30}=\frac{30+2\sqrt{183}}{60}
$