(X^2-12)+(3x+6)=x

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Solution for (X^2-12)+(3x+6)=x equation:


Simplifying
(X2 + -12) + (3x + 6) = x

Reorder the terms:
(-12 + X2) + (3x + 6) = x

Remove parenthesis around (-12 + X2)
-12 + X2 + (3x + 6) = x

Reorder the terms:
-12 + X2 + (6 + 3x) = x

Remove parenthesis around (6 + 3x)
-12 + X2 + 6 + 3x = x

Reorder the terms:
-12 + 6 + X2 + 3x = x

Combine like terms: -12 + 6 = -6
-6 + X2 + 3x = x

Solving
-6 + X2 + 3x = x

Solving for variable 'X'.

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

Add '6' to each side of the equation.
-6 + X2 + 6 + 3x = 6 + x

Reorder the terms:
-6 + 6 + X2 + 3x = 6 + x

Combine like terms: -6 + 6 = 0
0 + X2 + 3x = 6 + x
X2 + 3x = 6 + x

Add '-3x' to each side of the equation.
X2 + 3x + -3x = 6 + x + -3x

Combine like terms: 3x + -3x = 0
X2 + 0 = 6 + x + -3x
X2 = 6 + x + -3x

Combine like terms: x + -3x = -2x
X2 = 6 + -2x

Simplifying
X2 = 6 + -2x

Reorder the terms:
-6 + X2 + 2x = 6 + -2x + -6 + 2x

Reorder the terms:
-6 + X2 + 2x = 6 + -6 + -2x + 2x

Combine like terms: 6 + -6 = 0
-6 + X2 + 2x = 0 + -2x + 2x
-6 + X2 + 2x = -2x + 2x

Combine like terms: -2x + 2x = 0
-6 + X2 + 2x = 0

The solution to this equation could not be determined.

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