(2d+14)(3d-18)=0

Solution for (2d+14)(3d-18)=0 equation:

Simplifying
(2d + 14)(3d + -18) = 0

Reorder the terms:
(14 + 2d)(3d + -18) = 0

Reorder the terms:
(14 + 2d)(-18 + 3d) = 0

Multiply (14 + 2d) * (-18 + 3d)
(14(-18 + 3d) + 2d * (-18 + 3d)) = 0
((-18 * 14 + 3d * 14) + 2d * (-18 + 3d)) = 0
((-252 + 42d) + 2d * (-18 + 3d)) = 0
(-252 + 42d + (-18 * 2d + 3d * 2d)) = 0
(-252 + 42d + (-36d + 6d2)) = 0

Combine like terms: 42d + -36d = 6d
(-252 + 6d + 6d2) = 0

Solving
-252 + 6d + 6d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-42 + d + d2) = 0

Factor a trinomial.
6((-7 + -1d)(6 + -1d)) = 0

Ignore the factor 6.
Subproblem 1
Set the factor '(-7 + -1d)' equal to zero and attempt to solve:

Simplifying
-7 + -1d = 0

Solving
-7 + -1d = 0

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

Add '7' to each side of the equation.
-7 + 7 + -1d = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1d = 0 + 7
-1d = 0 + 7

Combine like terms: 0 + 7 = 7
-1d = 7

Divide each side by '-1'.
d = -7

Simplifying
d = -7
Subproblem 2
Set the factor '(6 + -1d)' equal to zero and attempt to solve:

Simplifying
6 + -1d = 0

Solving
6 + -1d = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1d = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1d = 0 + -6
-1d = 0 + -6

Combine like terms: 0 + -6 = -6
-1d = -6

Divide each side by '-1'.
d = 6

Simplifying
d = 6
Solution
d = {-7, 6}