-6d^2+23d-10=

Solution for -6d^2+23d-10= equation:

Simplifying
-6d2 + 23d + -10 = 0

Reorder the terms:
-10 + 23d + -6d2 = 0

Solving
-10 + 23d + -6d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(-10 + 3d)(1 + -2d) = 0

Subproblem 1
Set the factor '(-10 + 3d)' equal to zero and attempt to solve:

Simplifying
-10 + 3d = 0

Solving
-10 + 3d = 0

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

Add '10' to each side of the equation.
-10 + 10 + 3d = 0 + 10

Combine like terms: -10 + 10 = 0
0 + 3d = 0 + 10
3d = 0 + 10

Combine like terms: 0 + 10 = 10
3d = 10

Divide each side by '3'.
d = 3.333333333

Simplifying
d = 3.333333333
Subproblem 2
Set the factor '(1 + -2d)' equal to zero and attempt to solve:

Simplifying
1 + -2d = 0

Solving
1 + -2d = 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 + -2d = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2d = 0 + -1
-2d = 0 + -1

Combine like terms: 0 + -1 = -1
-2d = -1

Divide each side by '-2'.
d = 0.5

Simplifying
d = 0.5
Solution
d = {3.333333333, 0.5}