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

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

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

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

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

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

Combine like terms: -6d + 5d = -1d
(-15 + -1d + 2d2) = 0

Solving
-15 + -1d + 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}