4h^2+8h-5=0

Solution for 4h^2+8h-5=0 equation:

Simplifying
4h2 + 8h + -5 = 0

Reorder the terms:
-5 + 8h + 4h2 = 0

Solving
-5 + 8h + 4h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(-5 + -2h)(1 + -2h) = 0

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

Simplifying
-5 + -2h = 0

Solving
-5 + -2h = 0

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

Add '5' to each side of the equation.
-5 + 5 + -2h = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -2h = 0 + 5
-2h = 0 + 5

Combine like terms: 0 + 5 = 5
-2h = 5

Divide each side by '-2'.
h = -2.5

Simplifying
h = -2.5
Subproblem 2
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
Solution
h = {-2.5, 0.5}