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

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

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

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

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

Multiply (-2 + 2d) * (3 + 5d)
(-2(3 + 5d) + 2d * (3 + 5d)) = 0
((3 * -2 + 5d * -2) + 2d * (3 + 5d)) = 0
((-6 + -10d) + 2d * (3 + 5d)) = 0
(-6 + -10d + (3 * 2d + 5d * 2d)) = 0
(-6 + -10d + (6d + 10d2)) = 0

Combine like terms: -10d + 6d = -4d
(-6 + -4d + 10d2) = 0

Solving
-6 + -4d + 10d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-3 + -2d + 5d2) = 0

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

Ignore the factor 2.
Subproblem 1
Set the factor '(-3 + -5d)' equal to zero and attempt to solve:

Simplifying
-3 + -5d = 0

Solving
-3 + -5d = 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 + -5d = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -5d = 0 + 3
-5d = 0 + 3

Combine like terms: 0 + 3 = 3
-5d = 3

Divide each side by '-5'.
d = -0.6

Simplifying
d = -0.6
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 = {-0.6, 1}