x^2+58x+57=0

Solution for x^2+58x+57=0 equation:

Simplifying
x2 + 58x + 57 = 0

Reorder the terms:
57 + 58x + x2 = 0

Solving
57 + 58x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(57 + x)(1 + x) = 0

Subproblem 1
Set the factor '(57 + x)' equal to zero and attempt to solve:

Simplifying
57 + x = 0

Solving
57 + x = 0

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

Add '-57' to each side of the equation.
57 + -57 + x = 0 + -57

Combine like terms: 57 + -57 = 0
0 + x = 0 + -57
x = 0 + -57

Combine like terms: 0 + -57 = -57
x = -57

Simplifying
x = -57
Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

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

Add '-1' to each side of the equation.
1 + -1 + x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + x = 0 + -1
x = 0 + -1

Combine like terms: 0 + -1 = -1
x = -1

Simplifying
x = -1
Solution
x = {-57, -1}