x^2-55x-56=0

Solution for x^2-55x-56=0 equation:

Simplifying
x2 + -55x + -56 = 0

Reorder the terms:
-56 + -55x + x2 = 0

Solving
-56 + -55x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-1 + -1x)(56 + -1x) = 0

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

Simplifying
-1 + -1x = 0

Solving
-1 + -1x = 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 + -1x = 0 + 1

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

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

Divide each side by '-1'.
x = -1

Simplifying
x = -1
Subproblem 2
Set the factor '(56 + -1x)' equal to zero and attempt to solve:

Simplifying
56 + -1x = 0

Solving
56 + -1x = 0

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

Add '-56' to each side of the equation.
56 + -56 + -1x = 0 + -56

Combine like terms: 56 + -56 = 0
0 + -1x = 0 + -56
-1x = 0 + -56

Combine like terms: 0 + -56 = -56
-1x = -56

Divide each side by '-1'.
x = 56

Simplifying
x = 56
Solution
x = {-1, 56}