d^2=5d+50

Solution for d^2=5d+50 equation:

Simplifying
d2 = 5d + 50

Reorder the terms:
d2 = 50 + 5d

Solving
d2 = 50 + 5d

Solving for variable 'd'.

Reorder the terms:
-50 + -5d + d2 = 50 + 5d + -50 + -5d

Reorder the terms:
-50 + -5d + d2 = 50 + -50 + 5d + -5d

Combine like terms: 50 + -50 = 0
-50 + -5d + d2 = 0 + 5d + -5d
-50 + -5d + d2 = 5d + -5d

Combine like terms: 5d + -5d = 0
-50 + -5d + d2 = 0

Factor a trinomial.
(-5 + -1d)(10 + -1d) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(10 + -1d)' equal to zero and attempt to solve:

Simplifying
10 + -1d = 0

Solving
10 + -1d = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1d = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1d = 0 + -10
-1d = 0 + -10

Combine like terms: 0 + -10 = -10
-1d = -10

Divide each side by '-1'.
d = 10

Simplifying
d = 10
Solution
d = {-5, 10}