7d^2-22d+16=0

Solution for 7d^2-22d+16=0 equation:

Simplifying
7d2 + -22d + 16 = 0

Reorder the terms:
16 + -22d + 7d2 = 0

Solving
16 + -22d + 7d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(8 + -7d)(2 + -1d) = 0

Subproblem 1
Set the factor '(8 + -7d)' equal to zero and attempt to solve:

Simplifying
8 + -7d = 0

Solving
8 + -7d = 0

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

Add '-8' to each side of the equation.
8 + -8 + -7d = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -7d = 0 + -8
-7d = 0 + -8

Combine like terms: 0 + -8 = -8
-7d = -8

Divide each side by '-7'.
d = 1.142857143

Simplifying
d = 1.142857143
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 = {1.142857143, 2}