-10d^2+3d+27=0

Solution for -10d^2+3d+27=0 equation:

Simplifying
-10d2 + 3d + 27 = 0

Reorder the terms:
27 + 3d + -10d2 = 0

Solving
27 + 3d + -10d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(9 + -5d)(3 + 2d) = 0

Subproblem 1
Set the factor '(9 + -5d)' equal to zero and attempt to solve:

Simplifying
9 + -5d = 0

Solving
9 + -5d = 0

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

Add '-9' to each side of the equation.
9 + -9 + -5d = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -5d = 0 + -9
-5d = 0 + -9

Combine like terms: 0 + -9 = -9
-5d = -9

Divide each side by '-5'.
d = 1.8

Simplifying
d = 1.8
Subproblem 2
Set the factor '(3 + 2d)' equal to zero and attempt to solve:

Simplifying
3 + 2d = 0

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

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

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

Divide each side by '2'.
d = -1.5

Simplifying
d = -1.5
Solution
d = {1.8, -1.5}