(h+6)*h=91

Solution for (h+6)*h=91 equation:

Simplifying
(h + 6) * h = 91

Reorder the terms:
(6 + h) * h = 91

Reorder the terms for easier multiplication:
h(6 + h) = 91
(6 * h + h * h) = 91
(6h + h2) = 91

Solving
6h + h2 = 91

Solving for variable 'h'.

Reorder the terms:
-91 + 6h + h2 = 91 + -91

Combine like terms: 91 + -91 = 0
-91 + 6h + h2 = 0

Factor a trinomial.
(-13 + -1h)(7 + -1h) = 0

Subproblem 1
Set the factor '(-13 + -1h)' equal to zero and attempt to solve:

Simplifying
-13 + -1h = 0

Solving
-13 + -1h = 0

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

Add '13' to each side of the equation.
-13 + 13 + -1h = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -1h = 0 + 13
-1h = 0 + 13

Combine like terms: 0 + 13 = 13
-1h = 13

Divide each side by '-1'.
h = -13

Simplifying
h = -13
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 = {-13, 7}