54.3x^2-(11.5*54.3)x+(33.0625*54.3)-((4x^2)*54.3)=0

Solution for 54.3x^2-(11.5*54.3)x+(33.0625*54.3)-((4x^2)*54.3)=0 equation:

54.3x^2-(11.5*54.3)x+(33.0625*54.3)-((4x^2)*54.3)=0

We add all the numbers together, and all the variables

54.3x^2-(624.45)x-(4x^2*54.3)+(1795.29375)=0

We add all the numbers together, and all the variables

54.3x^2-(624.45)x-(4x^2*54.3)+1795.29375=0

We multiply parentheses

54.3x^2-624.45x-(4x^2*54.3)+1795.29375=0

We get rid of parentheses

54.3x^2-4x^2*54.3-624.45x+1795.29375=0

Wy multiply elements

54.3x^2-217.2x^2-624.45x+1795.29375=0

We add all the numbers together, and all the variables

-162.9x^2-624.45x+1795.29375=0

a = -162.9; b = -624.45; c = +1795.29375;
Δ = b2-4ac
Δ = -624.452-4·(-162.9)·1795.29375
Δ = 1559751.21
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{-(-624.45)-\sqrt{1559751.21}}{2*-162.9}=\frac{624.45-\sqrt{1559751.21}}{-325.8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-624.45)+\sqrt{1559751.21}}{2*-162.9}=\frac{624.45+\sqrt{1559751.21}}{-325.8}
$