5h^2+h=4

Solution for 5h^2+h=4 equation:

Simplifying
5h2 + h = 4

Reorder the terms:
h + 5h2 = 4

Solving
h + 5h2 = 4

Solving for variable 'h'.

Reorder the terms:
-4 + h + 5h2 = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + h + 5h2 = 0

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

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

Simplifying
-1 + -1h = 0

Solving
-1 + -1h = 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 + -1h = 0 + 1

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

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

Divide each side by '-1'.
h = -1

Simplifying
h = -1
Subproblem 2
Set the factor '(4 + -5h)' equal to zero and attempt to solve:

Simplifying
4 + -5h = 0

Solving
4 + -5h = 0

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

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

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

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

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

Simplifying
h = 0.8
Solution
h = {-1, 0.8}