h^2+14=9h

Solution for h^2+14=9h equation:

Simplifying
h2 + 14 = 9h

Reorder the terms:
14 + h2 = 9h

Solving
14 + h2 = 9h

Solving for variable 'h'.

Reorder the terms:
14 + -9h + h2 = 9h + -9h

Combine like terms: 9h + -9h = 0
14 + -9h + h2 = 0

Factor a trinomial.
(2 + -1h)(7 + -1h) = 0

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

Simplifying
2 + -1h = 0

Solving
2 + -1h = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1h = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1h = 0 + -2
-1h = 0 + -2

Combine like terms: 0 + -2 = -2
-1h = -2

Divide each side by '-1'.
h = 2

Simplifying
h = 2
Subproblem 2
Set the factor '(7 + -1h)' equal to zero and attempt to solve:

Simplifying
7 + -1h = 0

Solving
7 + -1h = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1h = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1h = 0 + -7
-1h = 0 + -7

Combine like terms: 0 + -7 = -7
-1h = -7

Divide each side by '-1'.
h = 7

Simplifying
h = 7
Solution
h = {2, 7}