3(h+3)(h+3)=

Solution for 3(h+3)(h+3)= equation:

Simplifying
3(h + 3)(h + 3) = 0

Reorder the terms:
3(3 + h)(h + 3) = 0

Reorder the terms:
3(3 + h)(3 + h) = 0

Multiply (3 + h) * (3 + h)
3(3(3 + h) + h(3 + h)) = 0
3((3 * 3 + h * 3) + h(3 + h)) = 0
3((9 + 3h) + h(3 + h)) = 0
3(9 + 3h + (3 * h + h * h)) = 0
3(9 + 3h + (3h + h2)) = 0

Combine like terms: 3h + 3h = 6h
3(9 + 6h + h2) = 0
(9 * 3 + 6h * 3 + h2 * 3) = 0
(27 + 18h + 3h2) = 0

Solving
27 + 18h + 3h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '3'.
3(9 + 6h + h2) = 0

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

Ignore the factor 3.
Subproblem 1
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
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 = {-3, -3}