-h^2-8h-7=0

Solution for -h^2-8h-7=0 equation:

Simplifying
-1h2 + -8h + -7 = 0

Reorder the terms:
-7 + -8h + -1h2 = 0

Solving
-7 + -8h + -1h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(7 + 8h + h2) = 0

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

Ignore the factor -1.
Subproblem 1
Set the factor '(7 + h)' equal to zero and attempt to solve:

Simplifying
7 + h = 0

Solving
7 + h = 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 + h = 0 + -7

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

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

Simplifying
h = -7
Subproblem 2
Set the factor '(1 + h)' equal to zero and attempt to solve:

Simplifying
1 + h = 0

Solving
1 + h = 0

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

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

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

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

Simplifying
h = -1
Solution
h = {-7, -1}