2.5x^2-1.95x=225.6

Solution for 2.5x^2-1.95x=225.6 equation:

2.5x^2-1.95x=225.6

We move all terms to the left:

2.5x^2-1.95x-(225.6)=0

We add all the numbers together, and all the variables

2.5x^2-1.95x-225.6=0

a = 2.5; b = -1.95; c = -225.6;
Δ = b2-4ac
Δ = -1.952-4·2.5·(-225.6)
Δ = 2259.8025
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{-(-1.95)-\sqrt{2259.8025}}{2*2.5}=\frac{1.95-\sqrt{2259.8025}}{5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.95)+\sqrt{2259.8025}}{2*2.5}=\frac{1.95+\sqrt{2259.8025}}{5}
$