x^2+71x+204=0

Solution for x^2+71x+204=0 equation:

Simplifying
x2 + 71x + 204 = 0

Reorder the terms:
204 + 71x + x2 = 0

Solving
204 + 71x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(68 + x)(3 + x) = 0

Subproblem 1
Set the factor '(68 + x)' equal to zero and attempt to solve:

Simplifying
68 + x = 0

Solving
68 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-68' to each side of the equation.
68 + -68 + x = 0 + -68

Combine like terms: 68 + -68 = 0
0 + x = 0 + -68
x = 0 + -68

Combine like terms: 0 + -68 = -68
x = -68

Simplifying
x = -68
Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
Solution
x = {-68, -3}