x2+18x=175

Solution for x2+18x=175 equation:

x2+18x=175

We move all terms to the left:

x2+18x-(175)=0

We add all the numbers together, and all the variables

x^2+18x-175=0

a = 1; b = 18; c = -175;
Δ = b2-4ac
Δ = 182-4·1·(-175)
Δ = 1024
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1024}=32$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(18)-32}{2*1}=\frac{-50}{2}
=-25
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(18)+32}{2*1}=\frac{14}{2}
=7
$