h^2+42h=0

Solution for h^2+42h=0 equation:

Simplifying
h2 + 42h = 0

Reorder the terms:
42h + h2 = 0

Solving
42h + h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), 'h'.
h(42 + 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 '(42 + h)' equal to zero and attempt to solve:

Simplifying
42 + h = 0

Solving
42 + h = 0

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

Add '-42' to each side of the equation.
42 + -42 + h = 0 + -42

Combine like terms: 42 + -42 = 0
0 + h = 0 + -42
h = 0 + -42

Combine like terms: 0 + -42 = -42
h = -42

Simplifying
h = -42
Solution
h = {0, -42}