(d-1)(d+5)=

Solution for (d-1)(d+5)= equation:

Simplifying
(d + -1)(d + 5) = 0

Reorder the terms:
(-1 + d)(d + 5) = 0

Reorder the terms:
(-1 + d)(5 + d) = 0

Multiply (-1 + d) * (5 + d)
(-1(5 + d) + d(5 + d)) = 0
((5 * -1 + d * -1) + d(5 + d)) = 0
((-5 + -1d) + d(5 + d)) = 0
(-5 + -1d + (5 * d + d * d)) = 0
(-5 + -1d + (5d + d2)) = 0

Combine like terms: -1d + 5d = 4d
(-5 + 4d + d2) = 0

Solving
-5 + 4d + d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(-5 + -1d)(1 + -1d) = 0

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

Simplifying
-5 + -1d = 0

Solving
-5 + -1d = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1d = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1d = 0 + 5
-1d = 0 + 5

Combine like terms: 0 + 5 = 5
-1d = 5

Divide each side by '-1'.
d = -5

Simplifying
d = -5
Subproblem 2
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
Solution
d = {-5, 1}