2h^2+8h+3=3

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

Simplifying
2h2 + 8h + 3 = 3

Reorder the terms:
3 + 8h + 2h2 = 3

Add '-3' to each side of the equation.
3 + 8h + -3 + 2h2 = 3 + -3

Reorder the terms:
3 + -3 + 8h + 2h2 = 3 + -3

Combine like terms: 3 + -3 = 0
0 + 8h + 2h2 = 3 + -3
8h + 2h2 = 3 + -3

Combine like terms: 3 + -3 = 0
8h + 2h2 = 0

Solving
8h + 2h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '2h'.
2h(4 + h) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'h' equal to zero and attempt to solve:

Simplifying
h = 0

Solving
h = 0

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

Simplifying
h = 0
Subproblem 2
Set the factor '(4 + h)' equal to zero and attempt to solve:

Simplifying
4 + h = 0

Solving
4 + h = 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 + h = 0 + -4

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

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

Simplifying
h = -4
Solution
h = {0, -4}