3d^2=2d+5

Solution for 3d^2=2d+5 equation:

Simplifying
3d2 = 2d + 5

Reorder the terms:
3d2 = 5 + 2d

Solving
3d2 = 5 + 2d

Solving for variable 'd'.

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

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

Combine like terms: 5 + -5 = 0
-5 + -2d + 3d2 = 0 + 2d + -2d
-5 + -2d + 3d2 = 2d + -2d

Combine like terms: 2d + -2d = 0
-5 + -2d + 3d2 = 0

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

Subproblem 1
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
Subproblem 2
Set the factor '(5 + -3d)' equal to zero and attempt to solve:

Simplifying
5 + -3d = 0

Solving
5 + -3d = 0

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

Add '-5' to each side of the equation.
5 + -5 + -3d = 0 + -5

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

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

Divide each side by '-3'.
d = 1.666666667

Simplifying
d = 1.666666667
Solution
d = {-1, 1.666666667}