X(9x-3)=(9x+3)(x-1)

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Solution for X(9x-3)=(9x+3)(x-1) equation: 


Simplifying
X(9x + -3) = (9x + 3)(x + -1)

Reorder the terms:
X(-3 + 9x) = (9x + 3)(x + -1)
(-3 * X + 9x * X) = (9x + 3)(x + -1)
(-3X + 9xX) = (9x + 3)(x + -1)

Reorder the terms:
-3X + 9xX = (3 + 9x)(x + -1)

Reorder the terms:
-3X + 9xX = (3 + 9x)(-1 + x)

Multiply (3 + 9x) * (-1 + x)
-3X + 9xX = (3(-1 + x) + 9x * (-1 + x))
-3X + 9xX = ((-1 * 3 + x * 3) + 9x * (-1 + x))
-3X + 9xX = ((-3 + 3x) + 9x * (-1 + x))
-3X + 9xX = (-3 + 3x + (-1 * 9x + x * 9x))
-3X + 9xX = (-3 + 3x + (-9x + 9x2))

Combine like terms: 3x + -9x = -6x
-3X + 9xX = (-3 + -6x + 9x2)

Solving
-3X + 9xX = -3 + -6x + 9x2

Solving for variable 'X'.

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

Reorder the terms:
3 + -3X + 6x + 9xX + -9x2 = -3 + -6x + 9x2 + 3 + 6x + -9x2

Reorder the terms:
3 + -3X + 6x + 9xX + -9x2 = -3 + 3 + -6x + 6x + 9x2 + -9x2

Combine like terms: -3 + 3 = 0
3 + -3X + 6x + 9xX + -9x2 = 0 + -6x + 6x + 9x2 + -9x2
3 + -3X + 6x + 9xX + -9x2 = -6x + 6x + 9x2 + -9x2

Combine like terms: -6x + 6x = 0
3 + -3X + 6x + 9xX + -9x2 = 0 + 9x2 + -9x2
3 + -3X + 6x + 9xX + -9x2 = 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
3 + -3X + 6x + 9xX + -9x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(1 + -1X + 2x + 3xX + -3x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(1 + -1X + 2x + 3xX + -3x2)' equal to zero and attempt to solve:

Simplifying
1 + -1X + 2x + 3xX + -3x2 = 0

Solving
1 + -1X + 2x + 3xX + -3x2 = 0

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

Add '-1' to each side of the equation.
1 + -1X + 2x + 3xX + -1 + -3x2 = 0 + -1

Reorder the terms:
1 + -1 + -1X + 2x + 3xX + -3x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1X + 2x + 3xX + -3x2 = 0 + -1
-1X + 2x + 3xX + -3x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-1X + 2x + 3xX + -3x2 = -1

Add '-2x' to each side of the equation.
-1X + 2x + 3xX + -2x + -3x2 = -1 + -2x

Reorder the terms:
-1X + 2x + -2x + 3xX + -3x2 = -1 + -2x

Combine like terms: 2x + -2x = 0
-1X + 0 + 3xX + -3x2 = -1 + -2x
-1X + 3xX + -3x2 = -1 + -2x

Add '3x2' to each side of the equation.
-1X + 3xX + -3x2 + 3x2 = -1 + -2x + 3x2

Combine like terms: -3x2 + 3x2 = 0
-1X + 3xX + 0 = -1 + -2x + 3x2
-1X + 3xX = -1 + -2x + 3x2

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.

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