21x^2-61x-92=0

Solution for 21x^2-61x-92=0 equation:

Simplifying
21x2 + -61x + -92 = 0

Reorder the terms:
-92 + -61x + 21x2 = 0

Solving
-92 + -61x + 21x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-23 + -21x)(4 + -1x) = 0

Subproblem 1
Set the factor '(-23 + -21x)' equal to zero and attempt to solve:

Simplifying
-23 + -21x = 0

Solving
-23 + -21x = 0

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

Add '23' to each side of the equation.
-23 + 23 + -21x = 0 + 23

Combine like terms: -23 + 23 = 0
0 + -21x = 0 + 23
-21x = 0 + 23

Combine like terms: 0 + 23 = 23
-21x = 23

Divide each side by '-21'.
x = -1.095238095

Simplifying
x = -1.095238095
Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-1.095238095, 4}