h^2-4h=-3

Solution for h^2-4h=-3 equation:

Simplifying
h2 + -4h = -3

Reorder the terms:
-4h + h2 = -3

Solving
-4h + h2 = -3

Solving for variable 'h'.

Reorder the terms:
3 + -4h + h2 = -3 + 3

Combine like terms: -3 + 3 = 0
3 + -4h + h2 = 0

Factor a trinomial.
(1 + -1h)(3 + -1h) = 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 '(3 + -1h)' equal to zero and attempt to solve:

Simplifying
3 + -1h = 0

Solving
3 + -1h = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1h = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1h = 0 + -3
-1h = 0 + -3

Combine like terms: 0 + -3 = -3
-1h = -3

Divide each side by '-1'.
h = 3

Simplifying
h = 3
Solution
h = {1, 3}