0=28+12x-x^2

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Solution for 0=28+12x-x^2 equation: 


Simplifying
0 = 28 + 12x + -1x2

Solving
0 = 28 + 12x + -1x2

Solving for variable 'x'.

Combine like terms: 0 + -28 = -28
-28 + -12x + x2 = 28 + 12x + -1x2 + -28 + -12x + x2

Reorder the terms:
-28 + -12x + x2 = 28 + -28 + 12x + -12x + -1x2 + x2

Combine like terms: 28 + -28 = 0
-28 + -12x + x2 = 0 + 12x + -12x + -1x2 + x2
-28 + -12x + x2 = 12x + -12x + -1x2 + x2

Combine like terms: 12x + -12x = 0
-28 + -12x + x2 = 0 + -1x2 + x2
-28 + -12x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-28 + -12x + x2 = 0

Factor a trinomial.
(-2 + -1x)(14 + -1x) = 0


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

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

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 = {-2, 14}

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