20p^2-11p=4

Solution for 20p^2-11p=4 equation:

Simplifying
20p2 + -11p = 4

Reorder the terms:
-11p + 20p2 = 4

Solving
-11p + 20p2 = 4

Solving for variable 'p'.

Reorder the terms:
-4 + -11p + 20p2 = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + -11p + 20p2 = 0

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

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

Simplifying
-1 + -4p = 0

Solving
-1 + -4p = 0

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

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

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

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

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

Simplifying
p = -0.25
Subproblem 2
Set the factor '(4 + -5p)' equal to zero and attempt to solve:

Simplifying
4 + -5p = 0

Solving
4 + -5p = 0

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

Add '-4' to each side of the equation.
4 + -4 + -5p = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5p = 0 + -4
-5p = 0 + -4

Combine like terms: 0 + -4 = -4
-5p = -4

Divide each side by '-5'.
p = 0.8

Simplifying
p = 0.8
Solution
p = {-0.25, 0.8}