7d^2+18d+8=0

Solution for 7d^2+18d+8=0 equation:

Simplifying
7d2 + 18d + 8 = 0

Reorder the terms:
8 + 18d + 7d2 = 0

Solving
8 + 18d + 7d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(2 + d)(4 + 7d) = 0

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

Simplifying
2 + d = 0

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

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

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

Simplifying
d = -2
Subproblem 2
Set the factor '(4 + 7d)' equal to zero and attempt to solve:

Simplifying
4 + 7d = 0

Solving
4 + 7d = 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 + 7d = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 7d = 0 + -4
7d = 0 + -4

Combine like terms: 0 + -4 = -4
7d = -4

Divide each side by '7'.
d = -0.5714285714

Simplifying
d = -0.5714285714
Solution
d = {-2, -0.5714285714}