x^2-4x-8=1588

Solution for x^2-4x-8=1588 equation:

Simplifying
x2 + -4x + -8 = 1588

Reorder the terms:
-8 + -4x + x2 = 1588

Solving
-8 + -4x + x2 = 1588

Solving for variable 'x'.

Reorder the terms:
-8 + -1588 + -4x + x2 = 1588 + -1588

Combine like terms: -8 + -1588 = -1596
-1596 + -4x + x2 = 1588 + -1588

Combine like terms: 1588 + -1588 = 0
-1596 + -4x + x2 = 0

Factor a trinomial.
(-38 + -1x)(42 + -1x) = 0

Subproblem 1
Set the factor '(-38 + -1x)' equal to zero and attempt to solve:

Simplifying
-38 + -1x = 0

Solving
-38 + -1x = 0

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

Add '38' to each side of the equation.
-38 + 38 + -1x = 0 + 38

Combine like terms: -38 + 38 = 0
0 + -1x = 0 + 38
-1x = 0 + 38

Combine like terms: 0 + 38 = 38
-1x = 38

Divide each side by '-1'.
x = -38

Simplifying
x = -38
Subproblem 2
Set the factor '(42 + -1x)' equal to zero and attempt to solve:

Simplifying
42 + -1x = 0

Solving
42 + -1x = 0

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

Add '-42' to each side of the equation.
42 + -42 + -1x = 0 + -42

Combine like terms: 42 + -42 = 0
0 + -1x = 0 + -42
-1x = 0 + -42

Combine like terms: 0 + -42 = -42
-1x = -42

Divide each side by '-1'.
x = 42

Simplifying
x = 42
Solution
x = {-38, 42}