(d+2)(d-5)=-6

Solution for (d+2)(d-5)=-6 equation:

Simplifying
(d + 2)(d + -5) = -6

Reorder the terms:
(2 + d)(d + -5) = -6

Reorder the terms:
(2 + d)(-5 + d) = -6

Multiply (2 + d) * (-5 + d)
(2(-5 + d) + d(-5 + d)) = -6
((-5 * 2 + d * 2) + d(-5 + d)) = -6
((-10 + 2d) + d(-5 + d)) = -6
(-10 + 2d + (-5 * d + d * d)) = -6
(-10 + 2d + (-5d + d2)) = -6

Combine like terms: 2d + -5d = -3d
(-10 + -3d + d2) = -6

Solving
-10 + -3d + d2 = -6

Solving for variable 'd'.

Reorder the terms:
-10 + 6 + -3d + d2 = -6 + 6

Combine like terms: -10 + 6 = -4
-4 + -3d + d2 = -6 + 6

Combine like terms: -6 + 6 = 0
-4 + -3d + d2 = 0

Factor a trinomial.
(-1 + -1d)(4 + -1d) = 0

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 '(4 + -1d)' equal to zero and attempt to solve:

Simplifying
4 + -1d = 0

Solving
4 + -1d = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1d = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1d = 0 + -4
-1d = 0 + -4

Combine like terms: 0 + -4 = -4
-1d = -4

Divide each side by '-1'.
d = 4

Simplifying
d = 4
Solution
d = {-1, 4}