d^2=50-23(d)

Solution for d^2=50-23(d) equation:

Simplifying
d2 = 50 + -23(d)

Solving
d2 = 50 + -23d

Solving for variable 'd'.

Reorder the terms:
-50 + 23d + d2 = 50 + -23d + -50 + 23d

Reorder the terms:
-50 + 23d + d2 = 50 + -50 + -23d + 23d

Combine like terms: 50 + -50 = 0
-50 + 23d + d2 = 0 + -23d + 23d
-50 + 23d + d2 = -23d + 23d

Combine like terms: -23d + 23d = 0
-50 + 23d + d2 = 0

Factor a trinomial.
(-25 + -1d)(2 + -1d) = 0

Subproblem 1
Set the factor '(-25 + -1d)' equal to zero and attempt to solve:

Simplifying
-25 + -1d = 0

Solving
-25 + -1d = 0

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

Add '25' to each side of the equation.
-25 + 25 + -1d = 0 + 25

Combine like terms: -25 + 25 = 0
0 + -1d = 0 + 25
-1d = 0 + 25

Combine like terms: 0 + 25 = 25
-1d = 25

Divide each side by '-1'.
d = -25

Simplifying
d = -25
Subproblem 2
Set the factor '(2 + -1d)' equal to zero and attempt to solve:

Simplifying
2 + -1d = 0

Solving
2 + -1d = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1d = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1d = 0 + -2
-1d = 0 + -2

Combine like terms: 0 + -2 = -2
-1d = -2

Divide each side by '-1'.
d = 2

Simplifying
d = 2
Solution
d = {-25, 2}