x^2+14x=275

Solution for x^2+14x=275 equation:

x^2+14x=275

We move all terms to the left:

x^2+14x-(275)=0

a = 1; b = 14; c = -275;
Δ = b2-4ac
Δ = 142-4·1·(-275)
Δ = 1296
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1296}=36$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(14)-36}{2*1}=\frac{-50}{2}
=-25
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(14)+36}{2*1}=\frac{22}{2}
=11
$