x^2-2x-4623=0

Solution for x^2-2x-4623=0 equation:

Simplifying
x2 + -2x + -4623 = 0

Reorder the terms:
-4623 + -2x + x2 = 0

Solving
-4623 + -2x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-67 + -1x)(69 + -1x) = 0

Subproblem 1
Set the factor '(-67 + -1x)' equal to zero and attempt to solve:

Simplifying
-67 + -1x = 0

Solving
-67 + -1x = 0

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

Add '67' to each side of the equation.
-67 + 67 + -1x = 0 + 67

Combine like terms: -67 + 67 = 0
0 + -1x = 0 + 67
-1x = 0 + 67

Combine like terms: 0 + 67 = 67
-1x = 67

Divide each side by '-1'.
x = -67

Simplifying
x = -67
Subproblem 2
Set the factor '(69 + -1x)' equal to zero and attempt to solve:

Simplifying
69 + -1x = 0

Solving
69 + -1x = 0

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

Add '-69' to each side of the equation.
69 + -69 + -1x = 0 + -69

Combine like terms: 69 + -69 = 0
0 + -1x = 0 + -69
-1x = 0 + -69

Combine like terms: 0 + -69 = -69
-1x = -69

Divide each side by '-1'.
x = 69

Simplifying
x = 69
Solution
x = {-67, 69}