-4h^2+8h-4=0

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

Simplifying
-4h2 + 8h + -4 = 0

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

Solving
-4 + 8h + -4h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-1 + 2h + -1h2) = 0

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

Ignore the factor 4.
Subproblem 1
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
Subproblem 2
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
Solution
h = {1, 1}