5d^2-2d-3=0

Solution for 5d^2-2d-3=0 equation:

Simplifying
5d2 + -2d + -3 = 0

Reorder the terms:
-3 + -2d + 5d2 = 0

Solving
-3 + -2d + 5d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(-3 + -5d)(1 + -1d) = 0

Subproblem 1
Set the factor '(-3 + -5d)' equal to zero and attempt to solve:

Simplifying
-3 + -5d = 0

Solving
-3 + -5d = 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 + -5d = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -5d = 0 + 3
-5d = 0 + 3

Combine like terms: 0 + 3 = 3
-5d = 3

Divide each side by '-5'.
d = -0.6

Simplifying
d = -0.6
Subproblem 2
Set the factor '(1 + -1d)' equal to zero and attempt to solve:

Simplifying
1 + -1d = 0

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

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

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

Divide each side by '-1'.
d = 1

Simplifying
d = 1
Solution
d = {-0.6, 1}