4d-4d^2=1

Solution for 4d-4d^2=1 equation:

Simplifying
4d + -4d2 = 1

Solving
4d + -4d2 = 1

Solving for variable 'd'.

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

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

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

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

Simplifying
-1 + 2d = 0

Solving
-1 + 2d = 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 + 2d = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 2d = 0 + 1
2d = 0 + 1

Combine like terms: 0 + 1 = 1
2d = 1

Divide each side by '2'.
d = 0.5

Simplifying
d = 0.5
Subproblem 2
Set the factor '(1 + -2d)' equal to zero and attempt to solve:

Simplifying
1 + -2d = 0

Solving
1 + -2d = 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 + -2d = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2d = 0 + -1
-2d = 0 + -1

Combine like terms: 0 + -1 = -1
-2d = -1

Divide each side by '-2'.
d = 0.5

Simplifying
d = 0.5
Solution
d = {0.5, 0.5}