2.7-2.7x=4x^2

Solution for 2.7-2.7x=4x^2 equation:

2.7-2.7x=4x^2

We move all terms to the left:

2.7-2.7x-(4x^2)=0

determiningTheFunctionDomain
-4x^2-2.7x+2.7=0

a = -4; b = -2.7; c = +2.7;
Δ = b2-4ac
Δ = -2.72-4·(-4)·2.7
Δ = 50.49
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{-(-2.7)-\sqrt{50.49}}{2*-4}=\frac{2.7-\sqrt{50.49}}{-8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2.7)+\sqrt{50.49}}{2*-4}=\frac{2.7+\sqrt{50.49}}{-8}
$