(x^2+100)=(28x-96)

Solution for (x^2+100)=(28x-96) equation:

Simplifying
(x2 + 100) = (28x + -96)

Reorder the terms:
(100 + x2) = (28x + -96)

Remove parenthesis around (100 + x2)
100 + x2 = (28x + -96)

Reorder the terms:
100 + x2 = (-96 + 28x)

Remove parenthesis around (-96 + 28x)
100 + x2 = -96 + 28x

Solving
100 + x2 = -96 + 28x

Solving for variable 'x'.

Reorder the terms:
100 + 96 + -28x + x2 = -96 + 28x + 96 + -28x

Combine like terms: 100 + 96 = 196
196 + -28x + x2 = -96 + 28x + 96 + -28x

Reorder the terms:
196 + -28x + x2 = -96 + 96 + 28x + -28x

Combine like terms: -96 + 96 = 0
196 + -28x + x2 = 0 + 28x + -28x
196 + -28x + x2 = 28x + -28x

Combine like terms: 28x + -28x = 0
196 + -28x + x2 = 0

Factor a trinomial.
(14 + -1x)(14 + -1x) = 0

Subproblem 1
Set the factor '(14 + -1x)' equal to zero and attempt to solve:

Simplifying
14 + -1x = 0

Solving
14 + -1x = 0

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

Add '-14' to each side of the equation.
14 + -14 + -1x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = 0 + -14
-1x = 0 + -14

Combine like terms: 0 + -14 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14
Subproblem 2
Set the factor '(14 + -1x)' equal to zero and attempt to solve:

Simplifying
14 + -1x = 0

Solving
14 + -1x = 0

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

Add '-14' to each side of the equation.
14 + -14 + -1x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = 0 + -14
-1x = 0 + -14

Combine like terms: 0 + -14 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14
Solution
x = {14, 14}