2d(d-5)+3(d-5)=

Solution for 2d(d-5)+3(d-5)= equation:

Simplifying
2d(d + -5) + 3(d + -5) = 0

Reorder the terms:
2d(-5 + d) + 3(d + -5) = 0
(-5 * 2d + d * 2d) + 3(d + -5) = 0
(-10d + 2d2) + 3(d + -5) = 0

Reorder the terms:
-10d + 2d2 + 3(-5 + d) = 0
-10d + 2d2 + (-5 * 3 + d * 3) = 0
-10d + 2d2 + (-15 + 3d) = 0

Reorder the terms:
-15 + -10d + 3d + 2d2 = 0

Combine like terms: -10d + 3d = -7d
-15 + -7d + 2d2 = 0

Solving
-15 + -7d + 2d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(-3 + -2d)(5 + -1d) = 0

Subproblem 1
Set the factor '(-3 + -2d)' equal to zero and attempt to solve:

Simplifying
-3 + -2d = 0

Solving
-3 + -2d = 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 + -2d = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -2d = 0 + 3
-2d = 0 + 3

Combine like terms: 0 + 3 = 3
-2d = 3

Divide each side by '-2'.
d = -1.5

Simplifying
d = -1.5
Subproblem 2
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
Solution
d = {-1.5, 5}