3d^2-4d=4

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

Simplifying
3d2 + -4d = 4

Reorder the terms:
-4d + 3d2 = 4

Solving
-4d + 3d2 = 4

Solving for variable 'd'.

Reorder the terms:
-4 + -4d + 3d2 = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + -4d + 3d2 = 0

Factor a trinomial.
(-2 + -3d)(2 + -1d) = 0

Subproblem 1
Set the factor '(-2 + -3d)' equal to zero and attempt to solve:

Simplifying
-2 + -3d = 0

Solving
-2 + -3d = 0

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

Add '2' to each side of the equation.
-2 + 2 + -3d = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -3d = 0 + 2
-3d = 0 + 2

Combine like terms: 0 + 2 = 2
-3d = 2

Divide each side by '-3'.
d = -0.6666666667

Simplifying
d = -0.6666666667
Subproblem 2
Set the factor '(2 + -1d)' equal to zero and attempt to solve:

Simplifying
2 + -1d = 0

Solving
2 + -1d = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1d = 0 + -2

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

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

Divide each side by '-1'.
d = 2

Simplifying
d = 2
Solution
d = {-0.6666666667, 2}