44x-153=3x^2

Solution for 44x-153=3x^2 equation:

44x-153=3x^2

We move all terms to the left:

44x-153-(3x^2)=0

determiningTheFunctionDomain
-3x^2+44x-153=0

a = -3; b = 44; c = -153;
Δ = b2-4ac
Δ = 442-4·(-3)·(-153)
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{100}=10$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(44)-10}{2*-3}=\frac{-54}{-6}
=+9
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(44)+10}{2*-3}=\frac{-34}{-6}
=5+2/3
$