3X-9=3X^2+27

Solution for 3X-9=3X^2+27 equation:

Simplifying
3X + -9 = 3X2 + 27

Reorder the terms:
-9 + 3X = 3X2 + 27

Reorder the terms:
-9 + 3X = 27 + 3X2

Solving
-9 + 3X = 27 + 3X2

Solving for variable 'X'.

Reorder the terms:
-9 + -27 + 3X + -3X2 = 27 + 3X2 + -27 + -3X2

Combine like terms: -9 + -27 = -36
-36 + 3X + -3X2 = 27 + 3X2 + -27 + -3X2

Reorder the terms:
-36 + 3X + -3X2 = 27 + -27 + 3X2 + -3X2

Combine like terms: 27 + -27 = 0
-36 + 3X + -3X2 = 0 + 3X2 + -3X2
-36 + 3X + -3X2 = 3X2 + -3X2

Combine like terms: 3X2 + -3X2 = 0
-36 + 3X + -3X2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-12 + X + -1X2) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-12 + X + -1X2)' equal to zero and attempt to solve:

Simplifying
-12 + X + -1X2 = 0

Solving
-12 + X + -1X2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
12 + -1X + X2 = 0

Move the constant term to the right:

Add '-12' to each side of the equation.
12 + -1X + -12 + X2 = 0 + -12

Reorder the terms:
12 + -12 + -1X + X2 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1X + X2 = 0 + -12
-1X + X2 = 0 + -12

Combine like terms: 0 + -12 = -12
-1X + X2 = -12

The X term is X.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1X + 0.25 + X2 = -12 + 0.25

Reorder the terms:
0.25 + -1X + X2 = -12 + 0.25

Combine like terms: -12 + 0.25 = -11.75
0.25 + -1X + X2 = -11.75

Factor a perfect square on the left side:
(X + 0.5)(X + 0.5) = -11.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.