2d^2+8d+3=3

Solution for 2d^2+8d+3=3 equation:

Simplifying
2d2 + 8d + 3 = 3

Reorder the terms:
3 + 8d + 2d2 = 3

Add '-3' to each side of the equation.
3 + 8d + -3 + 2d2 = 3 + -3

Reorder the terms:
3 + -3 + 8d + 2d2 = 3 + -3

Combine like terms: 3 + -3 = 0
0 + 8d + 2d2 = 3 + -3
8d + 2d2 = 3 + -3

Combine like terms: 3 + -3 = 0
8d + 2d2 = 0

Solving
8d + 2d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '2d'.
2d(4 + d) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'd' equal to zero and attempt to solve:

Simplifying
d = 0

Solving
d = 0

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

Simplifying
d = 0
Subproblem 2
Set the factor '(4 + d)' equal to zero and attempt to solve:

Simplifying
4 + d = 0

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

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

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

Simplifying
d = -4
Solution
d = {0, -4}