3x^2-45x=1350

Solution for 3x^2-45x=1350 equation:

3x^2-45x=1350

We move all terms to the left:

3x^2-45x-(1350)=0

a = 3; b = -45; c = -1350;
Δ = b2-4ac
Δ = -452-4·3·(-1350)
Δ = 18225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{18225}=135$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-45)-135}{2*3}=\frac{-90}{6}
=-15
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-45)+135}{2*3}=\frac{180}{6}
=30
$