3x^2+5x=288

Solution for 3x^2+5x=288 equation:

3x^2+5x=288

We move all terms to the left:

3x^2+5x-(288)=0

a = 3; b = 5; c = -288;
Δ = b2-4ac
Δ = 52-4·3·(-288)
Δ = 3481
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3481}=59$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-59}{2*3}=\frac{-64}{6}
=-10+2/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+59}{2*3}=\frac{54}{6}
=9
$