4-d=-d(d-4)

Solution for 4-d=-d(d-4) equation:

Simplifying
4 + -1d = -1d(d + -4)

Reorder the terms:
4 + -1d = -1d(-4 + d)
4 + -1d = (-4 * -1d + d * -1d)
4 + -1d = (4d + -1d2)

Solving
4 + -1d = 4d + -1d2

Solving for variable 'd'.

Combine like terms: -1d + -4d = -5d
4 + -5d + d2 = 4d + -1d2 + -4d + d2

Reorder the terms:
4 + -5d + d2 = 4d + -4d + -1d2 + d2

Combine like terms: 4d + -4d = 0
4 + -5d + d2 = 0 + -1d2 + d2
4 + -5d + d2 = -1d2 + d2

Combine like terms: -1d2 + d2 = 0
4 + -5d + d2 = 0

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

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

Simplifying
1 + -1d = 0

Solving
1 + -1d = 0

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

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

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

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

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

Simplifying
d = 1
Subproblem 2
Set the factor '(4 + -1d)' equal to zero and attempt to solve:

Simplifying
4 + -1d = 0

Solving
4 + -1d = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1d = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1d = 0 + -4
-1d = 0 + -4

Combine like terms: 0 + -4 = -4
-1d = -4

Divide each side by '-1'.
d = 4

Simplifying
d = 4
Solution
d = {1, 4}