22d^4-74d^3+24d^2=0

Solution for 22d^4-74d^3+24d^2=0 equation:

Simplifying
22d4 + -74d3 + 24d2 = 0

Reorder the terms:
24d2 + -74d3 + 22d4 = 0

Solving
24d2 + -74d3 + 22d4 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '2d2'.
2d2(12 + -37d + 11d2) = 0

Factor a trinomial.
2d2((4 + -11d)(3 + -1d)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'd2' equal to zero and attempt to solve:

Simplifying
d2 = 0

Solving
d2 = 0

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

Simplifying
d2 = 0

Take the square root of each side:
d = {0}
Subproblem 2
Set the factor '(4 + -11d)' equal to zero and attempt to solve:

Simplifying
4 + -11d = 0

Solving
4 + -11d = 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 + -11d = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -11d = 0 + -4
-11d = 0 + -4

Combine like terms: 0 + -4 = -4
-11d = -4

Divide each side by '-11'.
d = 0.3636363636

Simplifying
d = 0.3636363636
Subproblem 3
Set the factor '(3 + -1d)' equal to zero and attempt to solve:

Simplifying
3 + -1d = 0

Solving
3 + -1d = 0

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

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

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

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

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

Simplifying
d = 3
Solution
d = {0, 0.3636363636, 3}