27=h^2-6h

Solution for 27=h^2-6h equation:

Simplifying
27 = h2 + -6h

Reorder the terms:
27 = -6h + h2

Solving
27 = -6h + h2

Solving for variable 'h'.

Reorder the terms:
27 + 6h + -1h2 = -6h + 6h + h2 + -1h2

Combine like terms: -6h + 6h = 0
27 + 6h + -1h2 = 0 + h2 + -1h2
27 + 6h + -1h2 = h2 + -1h2

Combine like terms: h2 + -1h2 = 0
27 + 6h + -1h2 = 0

Factor a trinomial.
(9 + -1h)(3 + h) = 0

Subproblem 1
Set the factor '(9 + -1h)' equal to zero and attempt to solve:

Simplifying
9 + -1h = 0

Solving
9 + -1h = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1h = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1h = 0 + -9
-1h = 0 + -9

Combine like terms: 0 + -9 = -9
-1h = -9

Divide each side by '-1'.
h = 9

Simplifying
h = 9
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 = {9, -3}