5x2+55x=210

Solution for 5x2+55x=210 equation:

5x^2+55x=210

We move all terms to the left:

5x^2+55x-(210)=0

a = 5; b = 55; c = -210;
Δ = b2-4ac
Δ = 552-4·5·(-210)
Δ = 7225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{7225}=85$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(55)-85}{2*5}=\frac{-140}{10}
=-14
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(55)+85}{2*5}=\frac{30}{10}
=3
$