(d-5)(3d+4)=0

Solution for (d-5)(3d+4)=0 equation:

Simplifying
(d + -5)(3d + 4) = 0

Reorder the terms:
(-5 + d)(3d + 4) = 0

Reorder the terms:
(-5 + d)(4 + 3d) = 0

Multiply (-5 + d) * (4 + 3d)
(-5(4 + 3d) + d(4 + 3d)) = 0
((4 * -5 + 3d * -5) + d(4 + 3d)) = 0
((-20 + -15d) + d(4 + 3d)) = 0
(-20 + -15d + (4 * d + 3d * d)) = 0
(-20 + -15d + (4d + 3d2)) = 0

Combine like terms: -15d + 4d = -11d
(-20 + -11d + 3d2) = 0

Solving
-20 + -11d + 3d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(-4 + -3d)(5 + -1d) = 0

Subproblem 1
Set the factor '(-4 + -3d)' equal to zero and attempt to solve:

Simplifying
-4 + -3d = 0

Solving
-4 + -3d = 0

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

Add '4' to each side of the equation.
-4 + 4 + -3d = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -3d = 0 + 4
-3d = 0 + 4

Combine like terms: 0 + 4 = 4
-3d = 4

Divide each side by '-3'.
d = -1.333333333

Simplifying
d = -1.333333333
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 = {-1.333333333, 5}