(d-49)(d-1)=

Solution for (d-49)(d-1)= equation:

Simplifying
(d + -49)(d + -1) = 0

Reorder the terms:
(-49 + d)(d + -1) = 0

Reorder the terms:
(-49 + d)(-1 + d) = 0

Multiply (-49 + d) * (-1 + d)
(-49(-1 + d) + d(-1 + d)) = 0
((-1 * -49 + d * -49) + d(-1 + d)) = 0
((49 + -49d) + d(-1 + d)) = 0
(49 + -49d + (-1 * d + d * d)) = 0
(49 + -49d + (-1d + d2)) = 0

Combine like terms: -49d + -1d = -50d
(49 + -50d + d2) = 0

Solving
49 + -50d + d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(1 + -1d)(49 + -1d) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(49 + -1d)' equal to zero and attempt to solve:

Simplifying
49 + -1d = 0

Solving
49 + -1d = 0

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

Add '-49' to each side of the equation.
49 + -49 + -1d = 0 + -49

Combine like terms: 49 + -49 = 0
0 + -1d = 0 + -49
-1d = 0 + -49

Combine like terms: 0 + -49 = -49
-1d = -49

Divide each side by '-1'.
d = 49

Simplifying
d = 49
Solution
d = {1, 49}