49d^2+9=-42d

Solution for 49d^2+9=-42d equation:

Simplifying
49d2 + 9 = -42d

Reorder the terms:
9 + 49d2 = -42d

Solving
9 + 49d2 = -42d

Solving for variable 'd'.

Reorder the terms:
9 + 42d + 49d2 = -42d + 42d

Combine like terms: -42d + 42d = 0
9 + 42d + 49d2 = 0

Factor a trinomial.
(3 + 7d)(3 + 7d) = 0

Subproblem 1
Set the factor '(3 + 7d)' equal to zero and attempt to solve:

Simplifying
3 + 7d = 0

Solving
3 + 7d = 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 + 7d = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 7d = 0 + -3
7d = 0 + -3

Combine like terms: 0 + -3 = -3
7d = -3

Divide each side by '7'.
d = -0.4285714286

Simplifying
d = -0.4285714286
Subproblem 2
Set the factor '(3 + 7d)' equal to zero and attempt to solve:

Simplifying
3 + 7d = 0

Solving
3 + 7d = 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 + 7d = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 7d = 0 + -3
7d = 0 + -3

Combine like terms: 0 + -3 = -3
7d = -3

Divide each side by '7'.
d = -0.4285714286

Simplifying
d = -0.4285714286
Solution
d = {-0.4285714286, -0.4285714286}