20q^2+q-1=

Solution for 20q^2+q-1= equation:

Simplifying
20q2 + q + -1 = 0

Reorder the terms:
-1 + q + 20q2 = 0

Solving
-1 + q + 20q2 = 0

Solving for variable 'q'.

Factor a trinomial.
(-1 + -4q)(1 + -5q) = 0

Subproblem 1
Set the factor '(-1 + -4q)' equal to zero and attempt to solve:

Simplifying
-1 + -4q = 0

Solving
-1 + -4q = 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 + -4q = 0 + 1

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

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

Divide each side by '-4'.
q = -0.25

Simplifying
q = -0.25
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 = {-0.25, 0.2}