5x^2=-3x+110

Solution for 5x^2=-3x+110 equation:

5x^2=-3x+110

We move all terms to the left:

5x^2-(-3x+110)=0

We get rid of parentheses

5x^2+3x-110=0

a = 5; b = 3; c = -110;
Δ = b2-4ac
Δ = 32-4·5·(-110)
Δ = 2209
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2209}=47$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-47}{2*5}=\frac{-50}{10}
=-5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+47}{2*5}=\frac{44}{10}
=4+2/5
$