8x+12+x^2=285

Solution for 8x+12+x^2=285 equation:

Simplifying
8x + 12 + x2 = 285

Reorder the terms:
12 + 8x + x2 = 285

Solving
12 + 8x + x2 = 285

Solving for variable 'x'.

Reorder the terms:
12 + -285 + 8x + x2 = 285 + -285

Combine like terms: 12 + -285 = -273
-273 + 8x + x2 = 285 + -285

Combine like terms: 285 + -285 = 0
-273 + 8x + x2 = 0

Factor a trinomial.
(-21 + -1x)(13 + -1x) = 0

Subproblem 1
Set the factor '(-21 + -1x)' equal to zero and attempt to solve:

Simplifying
-21 + -1x = 0

Solving
-21 + -1x = 0

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

Add '21' to each side of the equation.
-21 + 21 + -1x = 0 + 21

Combine like terms: -21 + 21 = 0
0 + -1x = 0 + 21
-1x = 0 + 21

Combine like terms: 0 + 21 = 21
-1x = 21

Divide each side by '-1'.
x = -21

Simplifying
x = -21
Subproblem 2
Set the factor '(13 + -1x)' equal to zero and attempt to solve:

Simplifying
13 + -1x = 0

Solving
13 + -1x = 0

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

Add '-13' to each side of the equation.
13 + -13 + -1x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -1x = 0 + -13
-1x = 0 + -13

Combine like terms: 0 + -13 = -13
-1x = -13

Divide each side by '-1'.
x = 13

Simplifying
x = 13
Solution
x = {-21, 13}