-5q^2+11q-2=0

Solution for -5q^2+11q-2=0 equation:

Simplifying
-5q2 + 11q + -2 = 0

Reorder the terms:
-2 + 11q + -5q2 = 0

Solving
-2 + 11q + -5q2 = 0

Solving for variable 'q'.

Factor a trinomial.
(-2 + q)(1 + -5q) = 0

Subproblem 1
Set the factor '(-2 + q)' equal to zero and attempt to solve:

Simplifying
-2 + q = 0

Solving
-2 + q = 0

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

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

Combine like terms: -2 + 2 = 0
0 + q = 0 + 2
q = 0 + 2

Combine like terms: 0 + 2 = 2
q = 2

Simplifying
q = 2
Subproblem 2
Set the factor '(1 + -5q)' equal to zero and attempt to solve:

Simplifying
1 + -5q = 0

Solving
1 + -5q = 0

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

Add '-1' to each side of the equation.
1 + -1 + -5q = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5q = 0 + -1
-5q = 0 + -1

Combine like terms: 0 + -1 = -1
-5q = -1

Divide each side by '-5'.
q = 0.2

Simplifying
q = 0.2
Solution
q = {2, 0.2}