X(7x-3)=(7x+8)(x-1)

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Solution for X(7x-3)=(7x+8)(x-1) equation:


Simplifying
X(7x + -3) = (7x + 8)(x + -1)

Reorder the terms:
X(-3 + 7x) = (7x + 8)(x + -1)
(-3 * X + 7x * X) = (7x + 8)(x + -1)
(-3X + 7xX) = (7x + 8)(x + -1)

Reorder the terms:
-3X + 7xX = (8 + 7x)(x + -1)

Reorder the terms:
-3X + 7xX = (8 + 7x)(-1 + x)

Multiply (8 + 7x) * (-1 + x)
-3X + 7xX = (8(-1 + x) + 7x * (-1 + x))
-3X + 7xX = ((-1 * 8 + x * 8) + 7x * (-1 + x))
-3X + 7xX = ((-8 + 8x) + 7x * (-1 + x))
-3X + 7xX = (-8 + 8x + (-1 * 7x + x * 7x))
-3X + 7xX = (-8 + 8x + (-7x + 7x2))

Combine like terms: 8x + -7x = 1x
-3X + 7xX = (-8 + 1x + 7x2)

Solving
-3X + 7xX = -8 + 1x + 7x2

Solving for variable 'X'.

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

Reorder the terms:
8 + -3X + -1x + 7xX + -7x2 = -8 + 1x + 7x2 + 8 + -1x + -7x2

Reorder the terms:
8 + -3X + -1x + 7xX + -7x2 = -8 + 8 + 1x + -1x + 7x2 + -7x2

Combine like terms: -8 + 8 = 0
8 + -3X + -1x + 7xX + -7x2 = 0 + 1x + -1x + 7x2 + -7x2
8 + -3X + -1x + 7xX + -7x2 = 1x + -1x + 7x2 + -7x2

Combine like terms: 1x + -1x = 0
8 + -3X + -1x + 7xX + -7x2 = 0 + 7x2 + -7x2
8 + -3X + -1x + 7xX + -7x2 = 7x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
8 + -3X + -1x + 7xX + -7x2 = 0

The solution to this equation could not be determined.

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