(d^2-3)(d^2+2)=

Solution for (d^2-3)(d^2+2)= equation:

Simplifying
(d2 + -3)(d2 + 2) = 0

Reorder the terms:
(-3 + d2)(d2 + 2) = 0

Reorder the terms:
(-3 + d2)(2 + d2) = 0

Multiply (-3 + d2) * (2 + d2)
(-3(2 + d2) + d2(2 + d2)) = 0
((2 * -3 + d2 * -3) + d2(2 + d2)) = 0
((-6 + -3d2) + d2(2 + d2)) = 0
(-6 + -3d2 + (2 * d2 + d2 * d2)) = 0
(-6 + -3d2 + (2d2 + d4)) = 0

Combine like terms: -3d2 + 2d2 = -1d2
(-6 + -1d2 + d4) = 0

Solving
-6 + -1d2 + d4 = 0

Solving for variable 'd'.

Factor a trinomial.
(-2 + -1d2)(3 + -1d2) = 0

Subproblem 1
Set the factor '(-2 + -1d2)' equal to zero and attempt to solve:

Simplifying
-2 + -1d2 = 0

Solving
-2 + -1d2 = 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 + -1d2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1d2 = 0 + 2
-1d2 = 0 + 2

Combine like terms: 0 + 2 = 2
-1d2 = 2

Divide each side by '-1'.
d2 = -2

Simplifying
d2 = -2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(3 + -1d2)' equal to zero and attempt to solve:

Simplifying
3 + -1d2 = 0

Solving
3 + -1d2 = 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 + -1d2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1d2 = 0 + -3
-1d2 = 0 + -3

Combine like terms: 0 + -3 = -3
-1d2 = -3

Divide each side by '-1'.
d2 = 3

Simplifying
d2 = 3

Take the square root of each side:
d = {-1.732050808, 1.732050808}
Solution
d = {-1.732050808, 1.732050808}