x^2-4x-2021=0

Solution for x^2-4x-2021=0 equation:

Simplifying
x2 + -4x + -2021 = 0

Reorder the terms:
-2021 + -4x + x2 = 0

Solving
-2021 + -4x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-43 + -1x)(47 + -1x) = 0

Subproblem 1
Set the factor '(-43 + -1x)' equal to zero and attempt to solve:

Simplifying
-43 + -1x = 0

Solving
-43 + -1x = 0

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

Add '43' to each side of the equation.
-43 + 43 + -1x = 0 + 43

Combine like terms: -43 + 43 = 0
0 + -1x = 0 + 43
-1x = 0 + 43

Combine like terms: 0 + 43 = 43
-1x = 43

Divide each side by '-1'.
x = -43

Simplifying
x = -43
Subproblem 2
Set the factor '(47 + -1x)' equal to zero and attempt to solve:

Simplifying
47 + -1x = 0

Solving
47 + -1x = 0

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

Add '-47' to each side of the equation.
47 + -47 + -1x = 0 + -47

Combine like terms: 47 + -47 = 0
0 + -1x = 0 + -47
-1x = 0 + -47

Combine like terms: 0 + -47 = -47
-1x = -47

Divide each side by '-1'.
x = 47

Simplifying
x = 47
Solution
x = {-43, 47}