X(2x-2)=(2x+7)(x-8)

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Solution for X(2x-2)=(2x+7)(x-8) equation:


Simplifying
X(2x + -2) = (2x + 7)(x + -8)

Reorder the terms:
X(-2 + 2x) = (2x + 7)(x + -8)
(-2 * X + 2x * X) = (2x + 7)(x + -8)
(-2X + 2xX) = (2x + 7)(x + -8)

Reorder the terms:
-2X + 2xX = (7 + 2x)(x + -8)

Reorder the terms:
-2X + 2xX = (7 + 2x)(-8 + x)

Multiply (7 + 2x) * (-8 + x)
-2X + 2xX = (7(-8 + x) + 2x * (-8 + x))
-2X + 2xX = ((-8 * 7 + x * 7) + 2x * (-8 + x))
-2X + 2xX = ((-56 + 7x) + 2x * (-8 + x))
-2X + 2xX = (-56 + 7x + (-8 * 2x + x * 2x))
-2X + 2xX = (-56 + 7x + (-16x + 2x2))

Combine like terms: 7x + -16x = -9x
-2X + 2xX = (-56 + -9x + 2x2)

Solving
-2X + 2xX = -56 + -9x + 2x2

Solving for variable 'X'.

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

Reorder the terms:
56 + -2X + 9x + 2xX + -2x2 = -56 + -9x + 2x2 + 56 + 9x + -2x2

Reorder the terms:
56 + -2X + 9x + 2xX + -2x2 = -56 + 56 + -9x + 9x + 2x2 + -2x2

Combine like terms: -56 + 56 = 0
56 + -2X + 9x + 2xX + -2x2 = 0 + -9x + 9x + 2x2 + -2x2
56 + -2X + 9x + 2xX + -2x2 = -9x + 9x + 2x2 + -2x2

Combine like terms: -9x + 9x = 0
56 + -2X + 9x + 2xX + -2x2 = 0 + 2x2 + -2x2
56 + -2X + 9x + 2xX + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
56 + -2X + 9x + 2xX + -2x2 = 0

The solution to this equation could not be determined.

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