265+5x=3x^2

Solution for 265+5x=3x^2 equation:

265+5x=3x^2

We move all terms to the left:

265+5x-(3x^2)=0

determiningTheFunctionDomain
-3x^2+5x+265=0

a = -3; b = 5; c = +265;
Δ = b2-4ac
Δ = 52-4·(-3)·265
Δ = 3205
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{-(5)-\sqrt{3205}}{2*-3}=\frac{-5-\sqrt{3205}}{-6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+\sqrt{3205}}{2*-3}=\frac{-5+\sqrt{3205}}{-6}
$