40=h^2+6h

Solution for 40=h^2+6h equation:

Simplifying
40 = h2 + 6h

Reorder the terms:
40 = 6h + h2

Solving
40 = 6h + h2

Solving for variable 'h'.

Reorder the terms:
40 + -6h + -1h2 = 6h + -6h + h2 + -1h2

Combine like terms: 6h + -6h = 0
40 + -6h + -1h2 = 0 + h2 + -1h2
40 + -6h + -1h2 = h2 + -1h2

Combine like terms: h2 + -1h2 = 0
40 + -6h + -1h2 = 0

Factor a trinomial.
(4 + -1h)(10 + h) = 0

Subproblem 1
Set the factor '(4 + -1h)' equal to zero and attempt to solve:

Simplifying
4 + -1h = 0

Solving
4 + -1h = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1h = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1h = 0 + -4
-1h = 0 + -4

Combine like terms: 0 + -4 = -4
-1h = -4

Divide each side by '-1'.
h = 4

Simplifying
h = 4
Subproblem 2
Set the factor '(10 + h)' equal to zero and attempt to solve:

Simplifying
10 + h = 0

Solving
10 + h = 0

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

Add '-10' to each side of the equation.
10 + -10 + h = 0 + -10

Combine like terms: 10 + -10 = 0
0 + h = 0 + -10
h = 0 + -10

Combine like terms: 0 + -10 = -10
h = -10

Simplifying
h = -10
Solution
h = {4, -10}