(-4+2d)(5+2d)=0

Solution for (-4+2d)(5+2d)=0 equation:

Simplifying
(-4 + 2d)(5 + 2d) = 0

Multiply (-4 + 2d) * (5 + 2d)
(-4(5 + 2d) + 2d * (5 + 2d)) = 0
((5 * -4 + 2d * -4) + 2d * (5 + 2d)) = 0
((-20 + -8d) + 2d * (5 + 2d)) = 0
(-20 + -8d + (5 * 2d + 2d * 2d)) = 0
(-20 + -8d + (10d + 4d2)) = 0

Combine like terms: -8d + 10d = 2d
(-20 + 2d + 4d2) = 0

Solving
-20 + 2d + 4d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-10 + d + 2d2) = 0

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

Ignore the factor 2.
Subproblem 1
Set the factor '(-5 + -2d)' equal to zero and attempt to solve:

Simplifying
-5 + -2d = 0

Solving
-5 + -2d = 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 + -2d = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -2d = 0 + 5
-2d = 0 + 5

Combine like terms: 0 + 5 = 5
-2d = 5

Divide each side by '-2'.
d = -2.5

Simplifying
d = -2.5
Subproblem 2
Set the factor '(2 + -1d)' equal to zero and attempt to solve:

Simplifying
2 + -1d = 0

Solving
2 + -1d = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1d = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1d = 0 + -2
-1d = 0 + -2

Combine like terms: 0 + -2 = -2
-1d = -2

Divide each side by '-1'.
d = 2

Simplifying
d = 2
Solution
d = {-2.5, 2}