1.5x^2-4.3x=-1.2

Solution for 1.5x^2-4.3x=-1.2 equation:

1.5x^2-4.3x=-1.2

We move all terms to the left:

1.5x^2-4.3x-(-1.2)=0

We add all the numbers together, and all the variables

1.5x^2-4.3x+1.2=0

a = 1.5; b = -4.3; c = +1.2;
Δ = b2-4ac
Δ = -4.32-4·1.5·1.2
Δ = 11.29
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{-(-4.3)-\sqrt{11.29}}{2*1.5}=\frac{4.3-\sqrt{11.29}}{3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4.3)+\sqrt{11.29}}{2*1.5}=\frac{4.3+\sqrt{11.29}}{3}
$