6h^2+3=19h

Solution for 6h^2+3=19h equation:

Simplifying
6h2 + 3 = 19h

Reorder the terms:
3 + 6h2 = 19h

Solving
3 + 6h2 = 19h

Solving for variable 'h'.

Reorder the terms:
3 + -19h + 6h2 = 19h + -19h

Combine like terms: 19h + -19h = 0
3 + -19h + 6h2 = 0

Factor a trinomial.
(1 + -6h)(3 + -1h) = 0

Subproblem 1
Set the factor '(1 + -6h)' equal to zero and attempt to solve:

Simplifying
1 + -6h = 0

Solving
1 + -6h = 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 + -6h = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -6h = 0 + -1
-6h = 0 + -1

Combine like terms: 0 + -1 = -1
-6h = -1

Divide each side by '-6'.
h = 0.1666666667

Simplifying
h = 0.1666666667
Subproblem 2
Set the factor '(3 + -1h)' equal to zero and attempt to solve:

Simplifying
3 + -1h = 0

Solving
3 + -1h = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1h = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1h = 0 + -3
-1h = 0 + -3

Combine like terms: 0 + -3 = -3
-1h = -3

Divide each side by '-1'.
h = 3

Simplifying
h = 3
Solution
h = {0.1666666667, 3}