3456=h^2+24h

Solution for 3456=h^2+24h equation:

Simplifying
3456 = h2 + 24h

Reorder the terms:
3456 = 24h + h2

Solving
3456 = 24h + h2

Solving for variable 'h'.

Reorder the terms:
3456 + -24h + -1h2 = 24h + -24h + h2 + -1h2

Combine like terms: 24h + -24h = 0
3456 + -24h + -1h2 = 0 + h2 + -1h2
3456 + -24h + -1h2 = h2 + -1h2

Combine like terms: h2 + -1h2 = 0
3456 + -24h + -1h2 = 0

Factor a trinomial.
(48 + -1h)(72 + h) = 0

Subproblem 1
Set the factor '(48 + -1h)' equal to zero and attempt to solve:

Simplifying
48 + -1h = 0

Solving
48 + -1h = 0

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

Add '-48' to each side of the equation.
48 + -48 + -1h = 0 + -48

Combine like terms: 48 + -48 = 0
0 + -1h = 0 + -48
-1h = 0 + -48

Combine like terms: 0 + -48 = -48
-1h = -48

Divide each side by '-1'.
h = 48

Simplifying
h = 48
Subproblem 2
Set the factor '(72 + h)' equal to zero and attempt to solve:

Simplifying
72 + h = 0

Solving
72 + h = 0

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

Add '-72' to each side of the equation.
72 + -72 + h = 0 + -72

Combine like terms: 72 + -72 = 0
0 + h = 0 + -72
h = 0 + -72

Combine like terms: 0 + -72 = -72
h = -72

Simplifying
h = -72
Solution
h = {48, -72}