X(4x-2)=(4x+1)(x-2)

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Solution for X(4x-2)=(4x+1)(x-2) equation:


Simplifying
X(4x + -2) = (4x + 1)(x + -2)

Reorder the terms:
X(-2 + 4x) = (4x + 1)(x + -2)
(-2 * X + 4x * X) = (4x + 1)(x + -2)
(-2X + 4xX) = (4x + 1)(x + -2)

Reorder the terms:
-2X + 4xX = (1 + 4x)(x + -2)

Reorder the terms:
-2X + 4xX = (1 + 4x)(-2 + x)

Multiply (1 + 4x) * (-2 + x)
-2X + 4xX = (1(-2 + x) + 4x * (-2 + x))
-2X + 4xX = ((-2 * 1 + x * 1) + 4x * (-2 + x))
-2X + 4xX = ((-2 + 1x) + 4x * (-2 + x))
-2X + 4xX = (-2 + 1x + (-2 * 4x + x * 4x))
-2X + 4xX = (-2 + 1x + (-8x + 4x2))

Combine like terms: 1x + -8x = -7x
-2X + 4xX = (-2 + -7x + 4x2)

Solving
-2X + 4xX = -2 + -7x + 4x2

Solving for variable 'X'.

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

Reorder the terms:
2 + -2X + 7x + 4xX + -4x2 = -2 + -7x + 4x2 + 2 + 7x + -4x2

Reorder the terms:
2 + -2X + 7x + 4xX + -4x2 = -2 + 2 + -7x + 7x + 4x2 + -4x2

Combine like terms: -2 + 2 = 0
2 + -2X + 7x + 4xX + -4x2 = 0 + -7x + 7x + 4x2 + -4x2
2 + -2X + 7x + 4xX + -4x2 = -7x + 7x + 4x2 + -4x2

Combine like terms: -7x + 7x = 0
2 + -2X + 7x + 4xX + -4x2 = 0 + 4x2 + -4x2
2 + -2X + 7x + 4xX + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
2 + -2X + 7x + 4xX + -4x2 = 0

The solution to this equation could not be determined.

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