12x=6x+9+x^2

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Solution for 12x=6x+9+x^2 equation: 


Simplifying
12x = 6x + 9 + x2

Reorder the terms:
12x = 9 + 6x + x2

Solving
12x = 9 + 6x + x2

Solving for variable 'x'.

Reorder the terms:
-9 + 12x + -6x + -1x2 = 9 + 6x + x2 + -9 + -6x + -1x2

Combine like terms: 12x + -6x = 6x
-9 + 6x + -1x2 = 9 + 6x + x2 + -9 + -6x + -1x2

Reorder the terms:
-9 + 6x + -1x2 = 9 + -9 + 6x + -6x + x2 + -1x2

Combine like terms: 9 + -9 = 0
-9 + 6x + -1x2 = 0 + 6x + -6x + x2 + -1x2
-9 + 6x + -1x2 = 6x + -6x + x2 + -1x2

Combine like terms: 6x + -6x = 0
-9 + 6x + -1x2 = 0 + x2 + -1x2
-9 + 6x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-9 + 6x + -1x2 = 0

Factor a trinomial.
(-3 + x)(3 + -1x) = 0


Subproblem 1
Set the factor '(-3 + x)' equal to zero and attempt to solve:

Simplifying
-3 + x = 0

Solving
-3 + x = 0

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

Add '3' to each side of the equation.
-3 + 3 + x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + x = 0 + 3
x = 0 + 3

Combine like terms: 0 + 3 = 3
x = 3

Simplifying
x = 3

Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {3, 3}

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