(4-(1+h)(1+h))=

Solution for (4-(1+h)(1+h))= equation:

Simplifying
(4 + -1(1 + h)(1 + h)) = 0

Multiply (1 + h) * (1 + h)
(4 + -1(1(1 + h) + h(1 + h))) = 0
(4 + -1((1 * 1 + h * 1) + h(1 + h))) = 0
(4 + -1((1 + 1h) + h(1 + h))) = 0
(4 + -1(1 + 1h + (1 * h + h * h))) = 0
(4 + -1(1 + 1h + (1h + h2))) = 0

Combine like terms: 1h + 1h = 2h
(4 + -1(1 + 2h + h2)) = 0
(4 + (1 * -1 + 2h * -1 + h2 * -1)) = 0
(4 + (-1 + -2h + -1h2)) = 0

Combine like terms: 4 + -1 = 3
(3 + -2h + -1h2) = 0

Remove parenthesis around (3 + -2h + -1h2)
3 + -2h + -1h2 = 0

Solving
3 + -2h + -1h2 = 0

Solving for variable 'h'.

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

Simplifying
3 + h = 0

Solving
3 + h = 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 + h = 0 + -3

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

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

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