2.9-2.9x=4x^2

Solution for 2.9-2.9x=4x^2 equation:

2.9-2.9x=4x^2

We move all terms to the left:

2.9-2.9x-(4x^2)=0

determiningTheFunctionDomain
-4x^2-2.9x+2.9=0

a = -4; b = -2.9; c = +2.9;
Δ = b2-4ac
Δ = -2.92-4·(-4)·2.9
Δ = 54.81
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{-(-2.9)-\sqrt{54.81}}{2*-4}=\frac{2.9-\sqrt{54.81}}{-8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2.9)+\sqrt{54.81}}{2*-4}=\frac{2.9+\sqrt{54.81}}{-8}
$