49d^2+28d+4=

Solution for 49d^2+28d+4= equation:

Simplifying
49d2 + 28d + 4 = 0

Reorder the terms:
4 + 28d + 49d2 = 0

Solving
4 + 28d + 49d2 = 0

Solving for variable 'd'.

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

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

Simplifying
2 + 7d = 0

Solving
2 + 7d = 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 + 7d = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 7d = 0 + -2
7d = 0 + -2

Combine like terms: 0 + -2 = -2
7d = -2

Divide each side by '7'.
d = -0.2857142857

Simplifying
d = -0.2857142857
Subproblem 2
Set the factor '(2 + 7d)' equal to zero and attempt to solve:

Simplifying
2 + 7d = 0

Solving
2 + 7d = 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 + 7d = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 7d = 0 + -2
7d = 0 + -2

Combine like terms: 0 + -2 = -2
7d = -2

Divide each side by '7'.
d = -0.2857142857

Simplifying
d = -0.2857142857
Solution
d = {-0.2857142857, -0.2857142857}