X^2+6-3x^2+36x=108

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Solution for X^2+6-3x^2+36x=108 equation:


Simplifying
X2 + 6 + -3x2 + 36x = 108

Reorder the terms:
6 + X2 + 36x + -3x2 = 108

Solving
6 + X2 + 36x + -3x2 = 108

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 + 36x + -6 + -3x2 = 108 + -6

Reorder the terms:
6 + -6 + X2 + 36x + -3x2 = 108 + -6

Combine like terms: 6 + -6 = 0
0 + X2 + 36x + -3x2 = 108 + -6
X2 + 36x + -3x2 = 108 + -6

Combine like terms: 108 + -6 = 102
X2 + 36x + -3x2 = 102

Add '-36x' to each side of the equation.
X2 + 36x + -36x + -3x2 = 102 + -36x

Combine like terms: 36x + -36x = 0
X2 + 0 + -3x2 = 102 + -36x
X2 + -3x2 = 102 + -36x

Add '3x2' to each side of the equation.
X2 + -3x2 + 3x2 = 102 + -36x + 3x2

Combine like terms: -3x2 + 3x2 = 0
X2 + 0 = 102 + -36x + 3x2
X2 = 102 + -36x + 3x2

Simplifying
X2 = 102 + -36x + 3x2

Reorder the terms:
-102 + X2 + 36x + -3x2 = 102 + -36x + 3x2 + -102 + 36x + -3x2

Reorder the terms:
-102 + X2 + 36x + -3x2 = 102 + -102 + -36x + 36x + 3x2 + -3x2

Combine like terms: 102 + -102 = 0
-102 + X2 + 36x + -3x2 = 0 + -36x + 36x + 3x2 + -3x2
-102 + X2 + 36x + -3x2 = -36x + 36x + 3x2 + -3x2

Combine like terms: -36x + 36x = 0
-102 + X2 + 36x + -3x2 = 0 + 3x2 + -3x2
-102 + X2 + 36x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-102 + X2 + 36x + -3x2 = 0

The solution to this equation could not be determined.

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