x*x+(x+18)=1600

Solution for x*x+(x+18)=1600 equation:

x*x+(x+18)=1600

We move all terms to the left:

x*x+(x+18)-(1600)=0

Wy multiply elements

x^2+(x+18)-1600=0

We get rid of parentheses

x^2+x+18-1600=0

We add all the numbers together, and all the variables

x^2+x-1582=0

a = 1; b = 1; c = -1582;
Δ = b2-4ac
Δ = 12-4·1·(-1582)
Δ = 6329
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)-\sqrt{6329}}{2*1}=\frac{-1-\sqrt{6329}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{6329}}{2*1}=\frac{-1+\sqrt{6329}}{2}
$