X(2x-8)=(2x+5)(x-4)

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Solution for X(2x-8)=(2x+5)(x-4) equation:


Simplifying
X(2x + -8) = (2x + 5)(x + -4)

Reorder the terms:
X(-8 + 2x) = (2x + 5)(x + -4)
(-8 * X + 2x * X) = (2x + 5)(x + -4)
(-8X + 2xX) = (2x + 5)(x + -4)

Reorder the terms:
-8X + 2xX = (5 + 2x)(x + -4)

Reorder the terms:
-8X + 2xX = (5 + 2x)(-4 + x)

Multiply (5 + 2x) * (-4 + x)
-8X + 2xX = (5(-4 + x) + 2x * (-4 + x))
-8X + 2xX = ((-4 * 5 + x * 5) + 2x * (-4 + x))
-8X + 2xX = ((-20 + 5x) + 2x * (-4 + x))
-8X + 2xX = (-20 + 5x + (-4 * 2x + x * 2x))
-8X + 2xX = (-20 + 5x + (-8x + 2x2))

Combine like terms: 5x + -8x = -3x
-8X + 2xX = (-20 + -3x + 2x2)

Solving
-8X + 2xX = -20 + -3x + 2x2

Solving for variable 'X'.

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

Reorder the terms:
20 + -8X + 3x + 2xX + -2x2 = -20 + -3x + 2x2 + 20 + 3x + -2x2

Reorder the terms:
20 + -8X + 3x + 2xX + -2x2 = -20 + 20 + -3x + 3x + 2x2 + -2x2

Combine like terms: -20 + 20 = 0
20 + -8X + 3x + 2xX + -2x2 = 0 + -3x + 3x + 2x2 + -2x2
20 + -8X + 3x + 2xX + -2x2 = -3x + 3x + 2x2 + -2x2

Combine like terms: -3x + 3x = 0
20 + -8X + 3x + 2xX + -2x2 = 0 + 2x2 + -2x2
20 + -8X + 3x + 2xX + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
20 + -8X + 3x + 2xX + -2x2 = 0

The solution to this equation could not be determined.

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