A=(3x+1)(3x-4)-(3x+1)(x-1)

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Solution for A=(3x+1)(3x-4)-(3x+1)(x-1) equation: 


Simplifying
A = (3x + 1)(3x + -4) + -1(3x + 1)(x + -1)

Reorder the terms:
A = (1 + 3x)(3x + -4) + -1(3x + 1)(x + -1)

Reorder the terms:
A = (1 + 3x)(-4 + 3x) + -1(3x + 1)(x + -1)

Multiply (1 + 3x) * (-4 + 3x)
A = (1(-4 + 3x) + 3x * (-4 + 3x)) + -1(3x + 1)(x + -1)
A = ((-4 * 1 + 3x * 1) + 3x * (-4 + 3x)) + -1(3x + 1)(x + -1)
A = ((-4 + 3x) + 3x * (-4 + 3x)) + -1(3x + 1)(x + -1)
A = (-4 + 3x + (-4 * 3x + 3x * 3x)) + -1(3x + 1)(x + -1)
A = (-4 + 3x + (-12x + 9x2)) + -1(3x + 1)(x + -1)

Combine like terms: 3x + -12x = -9x
A = (-4 + -9x + 9x2) + -1(3x + 1)(x + -1)

Reorder the terms:
A = -4 + -9x + 9x2 + -1(1 + 3x)(x + -1)

Reorder the terms:
A = -4 + -9x + 9x2 + -1(1 + 3x)(-1 + x)

Multiply (1 + 3x) * (-1 + x)
A = -4 + -9x + 9x2 + -1(1(-1 + x) + 3x * (-1 + x))
A = -4 + -9x + 9x2 + -1((-1 * 1 + x * 1) + 3x * (-1 + x))
A = -4 + -9x + 9x2 + -1((-1 + 1x) + 3x * (-1 + x))
A = -4 + -9x + 9x2 + -1(-1 + 1x + (-1 * 3x + x * 3x))
A = -4 + -9x + 9x2 + -1(-1 + 1x + (-3x + 3x2))

Combine like terms: 1x + -3x = -2x
A = -4 + -9x + 9x2 + -1(-1 + -2x + 3x2)
A = -4 + -9x + 9x2 + (-1 * -1 + -2x * -1 + 3x2 * -1)
A = -4 + -9x + 9x2 + (1 + 2x + -3x2)

Reorder the terms:
A = -4 + 1 + -9x + 2x + 9x2 + -3x2

Combine like terms: -4 + 1 = -3
A = -3 + -9x + 2x + 9x2 + -3x2

Combine like terms: -9x + 2x = -7x
A = -3 + -7x + 9x2 + -3x2

Combine like terms: 9x2 + -3x2 = 6x2
A = -3 + -7x + 6x2

Solving
A = -3 + -7x + 6x2

Solving for variable 'A'.

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

Simplifying
A = -3 + -7x + 6x2

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