2x^2-5x=60

Solution for 2x^2-5x=60 equation:

2x^2-5x=60

We move all terms to the left:

2x^2-5x-(60)=0

a = 2; b = -5; c = -60;
Δ = b2-4ac
Δ = -52-4·2·(-60)
Δ = 505
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{505}}{2*2}=\frac{5-\sqrt{505}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+\sqrt{505}}{2*2}=\frac{5+\sqrt{505}}{4}
$