21x^2+11x-106=0

Solution for 21x^2+11x-106=0 equation:

Simplifying
21x2 + 11x + -106 = 0

Reorder the terms:
-106 + 11x + 21x2 = 0

Solving
-106 + 11x + 21x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-53 + -21x)(2 + -1x) = 0

Subproblem 1
Set the factor '(-53 + -21x)' equal to zero and attempt to solve:

Simplifying
-53 + -21x = 0

Solving
-53 + -21x = 0

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

Add '53' to each side of the equation.
-53 + 53 + -21x = 0 + 53

Combine like terms: -53 + 53 = 0
0 + -21x = 0 + 53
-21x = 0 + 53

Combine like terms: 0 + 53 = 53
-21x = 53

Divide each side by '-21'.
x = -2.523809524

Simplifying
x = -2.523809524
Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-2.523809524, 2}