X(2x-4)=(2x+1)(x+5)

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Solution for X(2x-4)=(2x+1)(x+5) equation:


Simplifying
X(2x + -4) = (2x + 1)(x + 5)

Reorder the terms:
X(-4 + 2x) = (2x + 1)(x + 5)
(-4 * X + 2x * X) = (2x + 1)(x + 5)
(-4X + 2xX) = (2x + 1)(x + 5)

Reorder the terms:
-4X + 2xX = (1 + 2x)(x + 5)

Reorder the terms:
-4X + 2xX = (1 + 2x)(5 + x)

Multiply (1 + 2x) * (5 + x)
-4X + 2xX = (1(5 + x) + 2x * (5 + x))
-4X + 2xX = ((5 * 1 + x * 1) + 2x * (5 + x))
-4X + 2xX = ((5 + 1x) + 2x * (5 + x))
-4X + 2xX = (5 + 1x + (5 * 2x + x * 2x))
-4X + 2xX = (5 + 1x + (10x + 2x2))

Combine like terms: 1x + 10x = 11x
-4X + 2xX = (5 + 11x + 2x2)

Solving
-4X + 2xX = 5 + 11x + 2x2

Solving for variable 'X'.

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

Reorder the terms:
-5 + -4X + -11x + 2xX + -2x2 = 5 + 11x + 2x2 + -5 + -11x + -2x2

Reorder the terms:
-5 + -4X + -11x + 2xX + -2x2 = 5 + -5 + 11x + -11x + 2x2 + -2x2

Combine like terms: 5 + -5 = 0
-5 + -4X + -11x + 2xX + -2x2 = 0 + 11x + -11x + 2x2 + -2x2
-5 + -4X + -11x + 2xX + -2x2 = 11x + -11x + 2x2 + -2x2

Combine like terms: 11x + -11x = 0
-5 + -4X + -11x + 2xX + -2x2 = 0 + 2x2 + -2x2
-5 + -4X + -11x + 2xX + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-5 + -4X + -11x + 2xX + -2x2 = 0

The solution to this equation could not be determined.

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