49d^2-14d+1=0

Solution for 49d^2-14d+1=0 equation:

Simplifying
49d2 + -14d + 1 = 0

Reorder the terms:
1 + -14d + 49d2 = 0

Solving
1 + -14d + 49d2 = 0

Solving for variable 'd'.

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

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

Simplifying
1 + -7d = 0

Solving
1 + -7d = 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 + -7d = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -7d = 0 + -1
-7d = 0 + -1

Combine like terms: 0 + -1 = -1
-7d = -1

Divide each side by '-7'.
d = 0.1428571429

Simplifying
d = 0.1428571429
Subproblem 2
Set the factor '(1 + -7d)' equal to zero and attempt to solve:

Simplifying
1 + -7d = 0

Solving
1 + -7d = 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 + -7d = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -7d = 0 + -1
-7d = 0 + -1

Combine like terms: 0 + -1 = -1
-7d = -1

Divide each side by '-7'.
d = 0.1428571429

Simplifying
d = 0.1428571429
Solution
d = {0.1428571429, 0.1428571429}