X(9x-4)=(9x+6)(x-1)

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Solution for X(9x-4)=(9x+6)(x-1) equation:


Simplifying
X(9x + -4) = (9x + 6)(x + -1)

Reorder the terms:
X(-4 + 9x) = (9x + 6)(x + -1)
(-4 * X + 9x * X) = (9x + 6)(x + -1)
(-4X + 9xX) = (9x + 6)(x + -1)

Reorder the terms:
-4X + 9xX = (6 + 9x)(x + -1)

Reorder the terms:
-4X + 9xX = (6 + 9x)(-1 + x)

Multiply (6 + 9x) * (-1 + x)
-4X + 9xX = (6(-1 + x) + 9x * (-1 + x))
-4X + 9xX = ((-1 * 6 + x * 6) + 9x * (-1 + x))
-4X + 9xX = ((-6 + 6x) + 9x * (-1 + x))
-4X + 9xX = (-6 + 6x + (-1 * 9x + x * 9x))
-4X + 9xX = (-6 + 6x + (-9x + 9x2))

Combine like terms: 6x + -9x = -3x
-4X + 9xX = (-6 + -3x + 9x2)

Solving
-4X + 9xX = -6 + -3x + 9x2

Solving for variable 'X'.

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

Reorder the terms:
6 + -4X + 3x + 9xX + -9x2 = -6 + -3x + 9x2 + 6 + 3x + -9x2

Reorder the terms:
6 + -4X + 3x + 9xX + -9x2 = -6 + 6 + -3x + 3x + 9x2 + -9x2

Combine like terms: -6 + 6 = 0
6 + -4X + 3x + 9xX + -9x2 = 0 + -3x + 3x + 9x2 + -9x2
6 + -4X + 3x + 9xX + -9x2 = -3x + 3x + 9x2 + -9x2

Combine like terms: -3x + 3x = 0
6 + -4X + 3x + 9xX + -9x2 = 0 + 9x2 + -9x2
6 + -4X + 3x + 9xX + -9x2 = 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
6 + -4X + 3x + 9xX + -9x2 = 0

The solution to this equation could not be determined.

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