28-x(x)+2-x=10

Solution for 28-x(x)+2-x=10 equation:

Simplifying
28 + -1x(x) + 2 + -1x = 10

Multiply x * x
28 + -1x2 + 2 + -1x = 10

Reorder the terms:
28 + 2 + -1x + -1x2 = 10

Combine like terms: 28 + 2 = 30
30 + -1x + -1x2 = 10

Solving
30 + -1x + -1x2 = 10

Solving for variable 'x'.

Reorder the terms:
30 + -10 + -1x + -1x2 = 10 + -10

Combine like terms: 30 + -10 = 20
20 + -1x + -1x2 = 10 + -10

Combine like terms: 10 + -10 = 0
20 + -1x + -1x2 = 0

Factor a trinomial.
(4 + -1x)(5 + x) = 0

Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 0

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

Add '-5' to each side of the equation.
5 + -5 + x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + x = 0 + -5
x = 0 + -5

Combine like terms: 0 + -5 = -5
x = -5

Simplifying
x = -5
Solution
x = {4, -5}