8h^2-10h-7=0

Solution for 8h^2-10h-7=0 equation:

Simplifying
8h2 + -10h + -7 = 0

Reorder the terms:
-7 + -10h + 8h2 = 0

Solving
-7 + -10h + 8h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(-1 + -2h)(7 + -4h) = 0

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

Simplifying
-1 + -2h = 0

Solving
-1 + -2h = 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 + -2h = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2h = 0 + 1
-2h = 0 + 1

Combine like terms: 0 + 1 = 1
-2h = 1

Divide each side by '-2'.
h = -0.5

Simplifying
h = -0.5
Subproblem 2
Set the factor '(7 + -4h)' equal to zero and attempt to solve:

Simplifying
7 + -4h = 0

Solving
7 + -4h = 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 + -4h = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4h = 0 + -7
-4h = 0 + -7

Combine like terms: 0 + -7 = -7
-4h = -7

Divide each side by '-4'.
h = 1.75

Simplifying
h = 1.75
Solution
h = {-0.5, 1.75}