5h^2-2h-7=0

Solution for 5h^2-2h-7=0 equation:

Simplifying
5h2 + -2h + -7 = 0

Reorder the terms:
-7 + -2h + 5h2 = 0

Solving
-7 + -2h + 5h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(-1 + -1h)(7 + -5h) = 0

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

Simplifying
-1 + -1h = 0

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

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

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

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

Simplifying
h = -1
Subproblem 2
Set the factor '(7 + -5h)' equal to zero and attempt to solve:

Simplifying
7 + -5h = 0

Solving
7 + -5h = 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 + -5h = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -5h = 0 + -7
-5h = 0 + -7

Combine like terms: 0 + -7 = -7
-5h = -7

Divide each side by '-5'.
h = 1.4

Simplifying
h = 1.4
Solution
h = {-1, 1.4}