4h^2+20h-11=0

Solution for 4h^2+20h-11=0 equation:

Simplifying
4h2 + 20h + -11 = 0

Reorder the terms:
-11 + 20h + 4h2 = 0

Solving
-11 + 20h + 4h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(-11 + -2h)(1 + -2h) = 0

Subproblem 1
Set the factor '(-11 + -2h)' equal to zero and attempt to solve:

Simplifying
-11 + -2h = 0

Solving
-11 + -2h = 0

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

Add '11' to each side of the equation.
-11 + 11 + -2h = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -2h = 0 + 11
-2h = 0 + 11

Combine like terms: 0 + 11 = 11
-2h = 11

Divide each side by '-2'.
h = -5.5

Simplifying
h = -5.5
Subproblem 2
Set the factor '(1 + -2h)' equal to zero and attempt to solve:

Simplifying
1 + -2h = 0

Solving
1 + -2h = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2h = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2h = 0 + -1
-2h = 0 + -1

Combine like terms: 0 + -1 = -1
-2h = -1

Divide each side by '-2'.
h = 0.5

Simplifying
h = 0.5
Solution
h = {-5.5, 0.5}