20x^2-9x-11=0

Solution for 20x^2-9x-11=0 equation:

Simplifying
20x2 + -9x + -11 = 0

Reorder the terms:
-11 + -9x + 20x2 = 0

Solving
-11 + -9x + 20x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-11 + -20x)(1 + -1x) = 0

Subproblem 1
Set the factor '(-11 + -20x)' equal to zero and attempt to solve:

Simplifying
-11 + -20x = 0

Solving
-11 + -20x = 0

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

Add '11' to each side of the equation.
-11 + 11 + -20x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -20x = 0 + 11
-20x = 0 + 11

Combine like terms: 0 + 11 = 11
-20x = 11

Divide each side by '-20'.
x = -0.55

Simplifying
x = -0.55
Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
Solution
x = {-0.55, 1}