3h^2+8h=3

Solution for 3h^2+8h=3 equation:

Simplifying
3h2 + 8h = 3

Reorder the terms:
8h + 3h2 = 3

Solving
8h + 3h2 = 3

Solving for variable 'h'.

Reorder the terms:
-3 + 8h + 3h2 = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + 8h + 3h2 = 0

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

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

Simplifying
1 + -3h = 0

Solving
1 + -3h = 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 + -3h = 0 + -1

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

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

Divide each side by '-3'.
h = 0.3333333333

Simplifying
h = 0.3333333333
Solution
h = {-3, 0.3333333333}