(2d-5)(1d-3)=0

Solution for (2d-5)(1d-3)=0 equation:

Simplifying
(2d + -5)(1d + -3) = 0

Reorder the terms:
(-5 + 2d)(1d + -3) = 0

Reorder the terms:
(-5 + 2d)(-3 + 1d) = 0

Multiply (-5 + 2d) * (-3 + 1d)
(-5(-3 + 1d) + 2d * (-3 + 1d)) = 0
((-3 * -5 + 1d * -5) + 2d * (-3 + 1d)) = 0
((15 + -5d) + 2d * (-3 + 1d)) = 0
(15 + -5d + (-3 * 2d + 1d * 2d)) = 0
(15 + -5d + (-6d + 2d2)) = 0

Combine like terms: -5d + -6d = -11d
(15 + -11d + 2d2) = 0

Solving
15 + -11d + 2d2 = 0

Solving for variable 'd'.

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

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 '(3 + -1d)' equal to zero and attempt to solve:

Simplifying
3 + -1d = 0

Solving
3 + -1d = 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 + -1d = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1d = 0 + -3
-1d = 0 + -3

Combine like terms: 0 + -3 = -3
-1d = -3

Divide each side by '-1'.
d = 3

Simplifying
d = 3
Solution
d = {2.5, 3}