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

Solution for (h-7)(h+6)=0 equation:

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

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

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

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

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

Solving
-42 + -1h + h2 = 0

Solving for variable 'h'.

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

Subproblem 1
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
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 = {-6, 7}