(x+1.5)*x=54,94X^2

Solution for (x+1.5)*x=54,94X^2 equation:

(x+1.5)*x=54.94x^2

We move all terms to the left:

(x+1.5)*x-(54.94x^2)=0

We multiply parentheses

x^2+1.5x-(54.94x^2)=0

We get rid of parentheses

x^2-54.94x^2+1.5x=0

We add all the numbers together, and all the variables

-53.94x^2+1.5x=0

a = -53.94; b = 1.5; c = 0;
Δ = b2-4ac
Δ = 1.52-4·(-53.94)·0
Δ = 2.25
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{-(1.5)-\sqrt{2.25}}{2*-53.94}=\frac{-1.5-\sqrt{2.25}}{-107.88}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1.5)+\sqrt{2.25}}{2*-53.94}=\frac{-1.5+\sqrt{2.25}}{-107.88}
$