h^2+15=16h

Solution for h^2+15=16h equation:

Simplifying
h2 + 15 = 16h

Reorder the terms:
15 + h2 = 16h

Solving
15 + h2 = 16h

Solving for variable 'h'.

Reorder the terms:
15 + -16h + h2 = 16h + -16h

Combine like terms: 16h + -16h = 0
15 + -16h + h2 = 0

Factor a trinomial.
(1 + -1h)(15 + -1h) = 0

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

Simplifying
1 + -1h = 0

Solving
1 + -1h = 0

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

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

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

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

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

Simplifying
h = 1
Subproblem 2
Set the factor '(15 + -1h)' equal to zero and attempt to solve:

Simplifying
15 + -1h = 0

Solving
15 + -1h = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1h = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1h = 0 + -15
-1h = 0 + -15

Combine like terms: 0 + -15 = -15
-1h = -15

Divide each side by '-1'.
h = 15

Simplifying
h = 15
Solution
h = {1, 15}