(2x^2)/4.3-x=0.19

Solution for (2x^2)/4.3-x=0.19 equation:

(2x^2)/4.3-x=0.19

We move all terms to the left:

(2x^2)/4.3-x-(0.19)=0

We add all the numbers together, and all the variables

2x^2/4.3-1x-0.19=0

We multiply all the terms by the denominator


2x^2-1x*4.3-(0.19)*4.3=0

We add all the numbers together, and all the variables

2x^2-1x*4.3-0.817=0

Wy multiply elements

2x^2-4.3x-0.817=0

a = 2; b = -4.3; c = -0.817;
Δ = b2-4ac
Δ = -4.32-4·2·(-0.817)
Δ = 25.026
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{25.026}}{2*2}=\frac{4.3-\sqrt{25.026}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4.3)+\sqrt{25.026}}{2*2}=\frac{4.3+\sqrt{25.026}}{4}
$