2(d-32)(d+27)=0

Solution for 2(d-32)(d+27)=0 equation:

Simplifying
2(d + -32)(d + 27) = 0

Reorder the terms:
2(-32 + d)(d + 27) = 0

Reorder the terms:
2(-32 + d)(27 + d) = 0

Multiply (-32 + d) * (27 + d)
2(-32(27 + d) + d(27 + d)) = 0
2((27 * -32 + d * -32) + d(27 + d)) = 0
2((-864 + -32d) + d(27 + d)) = 0
2(-864 + -32d + (27 * d + d * d)) = 0
2(-864 + -32d + (27d + d2)) = 0

Combine like terms: -32d + 27d = -5d
2(-864 + -5d + d2) = 0
(-864 * 2 + -5d * 2 + d2 * 2) = 0
(-1728 + -10d + 2d2) = 0

Solving
-1728 + -10d + 2d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-864 + -5d + d2) = 0

Factor a trinomial.
2((-27 + -1d)(32 + -1d)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-27 + -1d)' equal to zero and attempt to solve:

Simplifying
-27 + -1d = 0

Solving
-27 + -1d = 0

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

Add '27' to each side of the equation.
-27 + 27 + -1d = 0 + 27

Combine like terms: -27 + 27 = 0
0 + -1d = 0 + 27
-1d = 0 + 27

Combine like terms: 0 + 27 = 27
-1d = 27

Divide each side by '-1'.
d = -27

Simplifying
d = -27
Subproblem 2
Set the factor '(32 + -1d)' equal to zero and attempt to solve:

Simplifying
32 + -1d = 0

Solving
32 + -1d = 0

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

Add '-32' to each side of the equation.
32 + -32 + -1d = 0 + -32

Combine like terms: 32 + -32 = 0
0 + -1d = 0 + -32
-1d = 0 + -32

Combine like terms: 0 + -32 = -32
-1d = -32

Divide each side by '-1'.
d = 32

Simplifying
d = 32
Solution
d = {-27, 32}