h^2+7h=39(2)

Solution for h^2+7h=39(2) equation:

Simplifying
h2 + 7h = 39(2)

Reorder the terms:
7h + h2 = 39(2)

Multiply 39 * 2
7h + h2 = 78

Solving
7h + h2 = 78

Solving for variable 'h'.

Reorder the terms:
-78 + 7h + h2 = 78 + -78

Combine like terms: 78 + -78 = 0
-78 + 7h + h2 = 0

Factor a trinomial.
(-13 + -1h)(6 + -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 '(6 + -1h)' equal to zero and attempt to solve:

Simplifying
6 + -1h = 0

Solving
6 + -1h = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1h = 0 + -6

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

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

Divide each side by '-1'.
h = 6

Simplifying
h = 6
Solution
h = {-13, 6}