3x^2-1=X(3X+1)+5

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Solution for 3x^2-1=X(3X+1)+5 equation: 


Simplifying
3x2 + -1 = X(3X + 1) + 5

Reorder the terms:
-1 + 3x2 = X(3X + 1) + 5

Reorder the terms:
-1 + 3x2 = X(1 + 3X) + 5
-1 + 3x2 = (1 * X + 3X * X) + 5
-1 + 3x2 = (1X + 3X2) + 5

Reorder the terms:
-1 + 3x2 = 5 + 1X + 3X2

Solving
-1 + 3x2 = 5 + 1X + 3X2

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + 3x2 = 5 + 1X + 1 + 3X2

Combine like terms: -1 + 1 = 0
0 + 3x2 = 5 + 1X + 1 + 3X2
3x2 = 5 + 1X + 1 + 3X2

Reorder the terms:
3x2 = 5 + 1 + 1X + 3X2

Combine like terms: 5 + 1 = 6
3x2 = 6 + 1X + 3X2

Divide each side by '3'.
x2 = 2 + 0.3333333333X + X2

Simplifying
x2 = 2 + 0.3333333333X + X2

Reorder the terms:
-2 + -0.3333333333X + -1X2 + x2 = 2 + 0.3333333333X + X2 + -2 + -0.3333333333X + -1X2

Reorder the terms:
-2 + -0.3333333333X + -1X2 + x2 = 2 + -2 + 0.3333333333X + -0.3333333333X + X2 + -1X2

Combine like terms: 2 + -2 = 0
-2 + -0.3333333333X + -1X2 + x2 = 0 + 0.3333333333X + -0.3333333333X + X2 + -1X2
-2 + -0.3333333333X + -1X2 + x2 = 0.3333333333X + -0.3333333333X + X2 + -1X2

Combine like terms: 0.3333333333X + -0.3333333333X = 0.0000000000
-2 + -0.3333333333X + -1X2 + x2 = 0.0000000000 + X2 + -1X2
-2 + -0.3333333333X + -1X2 + x2 = X2 + -1X2

Combine like terms: X2 + -1X2 = 0
-2 + -0.3333333333X + -1X2 + x2 = 0

The solution to this equation could not be determined.

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