-6(2-d^2+d)=

Solution for -6(2-d^2+d)= equation:

Simplifying
-6(2 + -1d2 + d) = 0

Reorder the terms:
-6(2 + d + -1d2) = 0
(2 * -6 + d * -6 + -1d2 * -6) = 0
(-12 + -6d + 6d2) = 0

Solving
-12 + -6d + 6d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-2 + -1d + d2) = 0

Factor a trinomial.
6((-1 + -1d)(2 + -1d)) = 0

Ignore the factor 6.
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 '(2 + -1d)' equal to zero and attempt to solve:

Simplifying
2 + -1d = 0

Solving
2 + -1d = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1d = 0 + -2

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

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

Divide each side by '-1'.
d = 2

Simplifying
d = 2
Solution
d = {-1, 2}