X(3x-4)=(3x+4)(x-4)

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Solution for X(3x-4)=(3x+4)(x-4) equation:


Simplifying
X(3x + -4) = (3x + 4)(x + -4)

Reorder the terms:
X(-4 + 3x) = (3x + 4)(x + -4)
(-4 * X + 3x * X) = (3x + 4)(x + -4)
(-4X + 3xX) = (3x + 4)(x + -4)

Reorder the terms:
-4X + 3xX = (4 + 3x)(x + -4)

Reorder the terms:
-4X + 3xX = (4 + 3x)(-4 + x)

Multiply (4 + 3x) * (-4 + x)
-4X + 3xX = (4(-4 + x) + 3x * (-4 + x))
-4X + 3xX = ((-4 * 4 + x * 4) + 3x * (-4 + x))
-4X + 3xX = ((-16 + 4x) + 3x * (-4 + x))
-4X + 3xX = (-16 + 4x + (-4 * 3x + x * 3x))
-4X + 3xX = (-16 + 4x + (-12x + 3x2))

Combine like terms: 4x + -12x = -8x
-4X + 3xX = (-16 + -8x + 3x2)

Solving
-4X + 3xX = -16 + -8x + 3x2

Solving for variable 'X'.

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

Reorder the terms:
16 + -4X + 8x + 3xX + -3x2 = -16 + -8x + 3x2 + 16 + 8x + -3x2

Reorder the terms:
16 + -4X + 8x + 3xX + -3x2 = -16 + 16 + -8x + 8x + 3x2 + -3x2

Combine like terms: -16 + 16 = 0
16 + -4X + 8x + 3xX + -3x2 = 0 + -8x + 8x + 3x2 + -3x2
16 + -4X + 8x + 3xX + -3x2 = -8x + 8x + 3x2 + -3x2

Combine like terms: -8x + 8x = 0
16 + -4X + 8x + 3xX + -3x2 = 0 + 3x2 + -3x2
16 + -4X + 8x + 3xX + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
16 + -4X + 8x + 3xX + -3x2 = 0

The solution to this equation could not be determined.

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