d^2-14d+49=100

Solution for d^2-14d+49=100 equation:

Simplifying
d2 + -14d + 49 = 100

Reorder the terms:
49 + -14d + d2 = 100

Solving
49 + -14d + d2 = 100

Solving for variable 'd'.

Reorder the terms:
49 + -100 + -14d + d2 = 100 + -100

Combine like terms: 49 + -100 = -51
-51 + -14d + d2 = 100 + -100

Combine like terms: 100 + -100 = 0
-51 + -14d + d2 = 0

Factor a trinomial.
(-3 + -1d)(17 + -1d) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(17 + -1d)' equal to zero and attempt to solve:

Simplifying
17 + -1d = 0

Solving
17 + -1d = 0

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

Add '-17' to each side of the equation.
17 + -17 + -1d = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -1d = 0 + -17
-1d = 0 + -17

Combine like terms: 0 + -17 = -17
-1d = -17

Divide each side by '-1'.
d = 17

Simplifying
d = 17
Solution
d = {-3, 17}