(h-6)(h+7)=

Solution for (h-6)(h+7)= equation:

Simplifying
(h + -6)(h + 7) = 0

Reorder the terms:
(-6 + h)(h + 7) = 0

Reorder the terms:
(-6 + h)(7 + h) = 0

Multiply (-6 + h) * (7 + h)
(-6(7 + h) + h(7 + h)) = 0
((7 * -6 + h * -6) + h(7 + h)) = 0
((-42 + -6h) + h(7 + h)) = 0
(-42 + -6h + (7 * h + h * h)) = 0
(-42 + -6h + (7h + h2)) = 0

Combine like terms: -6h + 7h = 1h
(-42 + 1h + h2) = 0

Solving
-42 + 1h + h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(-7 + -1h)(6 + -1h) = 0

Subproblem 1
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
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 = {-7, 6}