x*x-2*x=224

Solution for x*x-2*x=224 equation:

Simplifying
x * x + -2x = 224

Multiply x * x
x2 + -2x = 224

Reorder the terms:
-2x + x2 = 224

Solving
-2x + x2 = 224

Solving for variable 'x'.

Reorder the terms:
-224 + -2x + x2 = 224 + -224

Combine like terms: 224 + -224 = 0
-224 + -2x + x2 = 0

Factor a trinomial.
(-14 + -1x)(16 + -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 '(16 + -1x)' equal to zero and attempt to solve:

Simplifying
16 + -1x = 0

Solving
16 + -1x = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = 0 + -16
-1x = 0 + -16

Combine like terms: 0 + -16 = -16
-1x = -16

Divide each side by '-1'.
x = 16

Simplifying
x = 16
Solution
x = {-14, 16}