(d-1)(5d-4)=

Solution for (d-1)(5d-4)= equation:

Simplifying
(d + -1)(5d + -4) = 0

Reorder the terms:
(-1 + d)(5d + -4) = 0

Reorder the terms:
(-1 + d)(-4 + 5d) = 0

Multiply (-1 + d) * (-4 + 5d)
(-1(-4 + 5d) + d(-4 + 5d)) = 0
((-4 * -1 + 5d * -1) + d(-4 + 5d)) = 0
((4 + -5d) + d(-4 + 5d)) = 0
(4 + -5d + (-4 * d + 5d * d)) = 0
(4 + -5d + (-4d + 5d2)) = 0

Combine like terms: -5d + -4d = -9d
(4 + -9d + 5d2) = 0

Solving
4 + -9d + 5d2 = 0

Solving for variable 'd'.

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

Subproblem 1
Set the factor '(4 + -5d)' equal to zero and attempt to solve:

Simplifying
4 + -5d = 0

Solving
4 + -5d = 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 + -5d = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5d = 0 + -4
-5d = 0 + -4

Combine like terms: 0 + -4 = -4
-5d = -4

Divide each side by '-5'.
d = 0.8

Simplifying
d = 0.8
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 = {0.8, 1}