4b^2-11b=20

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

Simplifying
4b2 + -11b = 20

Reorder the terms:
-11b + 4b2 = 20

Solving
-11b + 4b2 = 20

Solving for variable 'b'.

Reorder the terms:
-20 + -11b + 4b2 = 20 + -20

Combine like terms: 20 + -20 = 0
-20 + -11b + 4b2 = 0

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

Subproblem 1
Set the factor '(-5 + -4b)' equal to zero and attempt to solve:

Simplifying
-5 + -4b = 0

Solving
-5 + -4b = 0

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

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

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

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

Divide each side by '-4'.
b = -1.25

Simplifying
b = -1.25
Subproblem 2
Set the factor '(4 + -1b)' equal to zero and attempt to solve:

Simplifying
4 + -1b = 0

Solving
4 + -1b = 0

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

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

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

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

Divide each side by '-1'.
b = 4

Simplifying
b = 4
Solution
b = {-1.25, 4}