0=x^2+26x+69

The equation is a quadratic equation of the form ax^2 + bx + c = 0, where a=1, b=26, and c=69.

To solve for x, we can use the quadratic formula: x = [-b ± sqrt(b^2 - 4ac)] / 2a.

Substituting the values: x = [-26 ± sqrt(26^2 - 4*1*69)] / 2*1 = [-26 ± sqrt(676 - 276)] / 2 = [-26 ± sqrt(400)] / 2 = [-26 ± 20] / 2.

This gives two solutions: x1 = (-26 + 20) / 2 = -6 / 2 = -3 and x2 = (-26 - 20) / 2 = -46 / 2 = -23.