X(7x-1)=(7x+1)(x-2)

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Solution for X(7x-1)=(7x+1)(x-2) equation:


Simplifying
X(7x + -1) = (7x + 1)(x + -2)

Reorder the terms:
X(-1 + 7x) = (7x + 1)(x + -2)
(-1 * X + 7x * X) = (7x + 1)(x + -2)
(-1X + 7xX) = (7x + 1)(x + -2)

Reorder the terms:
-1X + 7xX = (1 + 7x)(x + -2)

Reorder the terms:
-1X + 7xX = (1 + 7x)(-2 + x)

Multiply (1 + 7x) * (-2 + x)
-1X + 7xX = (1(-2 + x) + 7x * (-2 + x))
-1X + 7xX = ((-2 * 1 + x * 1) + 7x * (-2 + x))
-1X + 7xX = ((-2 + 1x) + 7x * (-2 + x))
-1X + 7xX = (-2 + 1x + (-2 * 7x + x * 7x))
-1X + 7xX = (-2 + 1x + (-14x + 7x2))

Combine like terms: 1x + -14x = -13x
-1X + 7xX = (-2 + -13x + 7x2)

Solving
-1X + 7xX = -2 + -13x + 7x2

Solving for variable 'X'.

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

Reorder the terms:
2 + -1X + 13x + 7xX + -7x2 = -2 + -13x + 7x2 + 2 + 13x + -7x2

Reorder the terms:
2 + -1X + 13x + 7xX + -7x2 = -2 + 2 + -13x + 13x + 7x2 + -7x2

Combine like terms: -2 + 2 = 0
2 + -1X + 13x + 7xX + -7x2 = 0 + -13x + 13x + 7x2 + -7x2
2 + -1X + 13x + 7xX + -7x2 = -13x + 13x + 7x2 + -7x2

Combine like terms: -13x + 13x = 0
2 + -1X + 13x + 7xX + -7x2 = 0 + 7x2 + -7x2
2 + -1X + 13x + 7xX + -7x2 = 7x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
2 + -1X + 13x + 7xX + -7x2 = 0

The solution to this equation could not be determined.

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