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

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


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

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

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

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

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

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

Solving
-1X + 2xX = -4 + -7x + 2x2

Solving for variable 'X'.

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

Reorder the terms:
4 + -1X + 7x + 2xX + -2x2 = -4 + -7x + 2x2 + 4 + 7x + -2x2

Reorder the terms:
4 + -1X + 7x + 2xX + -2x2 = -4 + 4 + -7x + 7x + 2x2 + -2x2

Combine like terms: -4 + 4 = 0
4 + -1X + 7x + 2xX + -2x2 = 0 + -7x + 7x + 2x2 + -2x2
4 + -1X + 7x + 2xX + -2x2 = -7x + 7x + 2x2 + -2x2

Combine like terms: -7x + 7x = 0
4 + -1X + 7x + 2xX + -2x2 = 0 + 2x2 + -2x2
4 + -1X + 7x + 2xX + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
4 + -1X + 7x + 2xX + -2x2 = 0

The solution to this equation could not be determined.

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