(4d-1)(d-3)=0

Solution for (4d-1)(d-3)=0 equation:

Simplifying
(4d + -1)(d + -3) = 0

Reorder the terms:
(-1 + 4d)(d + -3) = 0

Reorder the terms:
(-1 + 4d)(-3 + d) = 0

Multiply (-1 + 4d) * (-3 + d)
(-1(-3 + d) + 4d * (-3 + d)) = 0
((-3 * -1 + d * -1) + 4d * (-3 + d)) = 0
((3 + -1d) + 4d * (-3 + d)) = 0
(3 + -1d + (-3 * 4d + d * 4d)) = 0
(3 + -1d + (-12d + 4d2)) = 0

Combine like terms: -1d + -12d = -13d
(3 + -13d + 4d2) = 0

Solving
3 + -13d + 4d2 = 0

Solving for variable 'd'.

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

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

Simplifying
1 + -4d = 0

Solving
1 + -4d = 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 + -4d = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4d = 0 + -1
-4d = 0 + -1

Combine like terms: 0 + -1 = -1
-4d = -1

Divide each side by '-4'.
d = 0.25

Simplifying
d = 0.25
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 = {0.25, 3}