h^2+3h+3=3

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

Simplifying
h2 + 3h + 3 = 3

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

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

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

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

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

Solving
3h + h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), 'h'.
h(3 + h) = 0

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 '(3 + h)' equal to zero and attempt to solve:

Simplifying
3 + h = 0

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

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

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

Simplifying
h = -3
Solution
h = {0, -3}