B=(x-1)*(4x*x+5)-(x-1)*(x-1)

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Solution for B=(x-1)*(4x*x+5)-(x-1)*(x-1) equation: 


Simplifying
B = (x + -1)(4x * x + 5) + -1(x + -1)(x + -1)

Reorder the terms:
B = (-1 + x)(4x * x + 5) + -1(x + -1)(x + -1)

Multiply x * x
B = (-1 + x)(4x2 + 5) + -1(x + -1)(x + -1)

Reorder the terms:
B = (-1 + x)(5 + 4x2) + -1(x + -1)(x + -1)

Multiply (-1 + x) * (5 + 4x2)
B = (-1(5 + 4x2) + x(5 + 4x2)) + -1(x + -1)(x + -1)
B = ((5 * -1 + 4x2 * -1) + x(5 + 4x2)) + -1(x + -1)(x + -1)
B = ((-5 + -4x2) + x(5 + 4x2)) + -1(x + -1)(x + -1)
B = (-5 + -4x2 + (5 * x + 4x2 * x)) + -1(x + -1)(x + -1)
B = (-5 + -4x2 + (5x + 4x3)) + -1(x + -1)(x + -1)

Reorder the terms:
B = (-5 + 5x + -4x2 + 4x3) + -1(x + -1)(x + -1)
B = (-5 + 5x + -4x2 + 4x3) + -1(x + -1)(x + -1)

Reorder the terms:
B = -5 + 5x + -4x2 + 4x3 + -1(-1 + x)(x + -1)

Reorder the terms:
B = -5 + 5x + -4x2 + 4x3 + -1(-1 + x)(-1 + x)

Multiply (-1 + x) * (-1 + x)
B = -5 + 5x + -4x2 + 4x3 + -1(-1(-1 + x) + x(-1 + x))
B = -5 + 5x + -4x2 + 4x3 + -1((-1 * -1 + x * -1) + x(-1 + x))
B = -5 + 5x + -4x2 + 4x3 + -1((1 + -1x) + x(-1 + x))
B = -5 + 5x + -4x2 + 4x3 + -1(1 + -1x + (-1 * x + x * x))
B = -5 + 5x + -4x2 + 4x3 + -1(1 + -1x + (-1x + x2))

Combine like terms: -1x + -1x = -2x
B = -5 + 5x + -4x2 + 4x3 + -1(1 + -2x + x2)
B = -5 + 5x + -4x2 + 4x3 + (1 * -1 + -2x * -1 + x2 * -1)
B = -5 + 5x + -4x2 + 4x3 + (-1 + 2x + -1x2)

Reorder the terms:
B = -5 + -1 + 5x + 2x + -4x2 + -1x2 + 4x3

Combine like terms: -5 + -1 = -6
B = -6 + 5x + 2x + -4x2 + -1x2 + 4x3

Combine like terms: 5x + 2x = 7x
B = -6 + 7x + -4x2 + -1x2 + 4x3

Combine like terms: -4x2 + -1x2 = -5x2
B = -6 + 7x + -5x2 + 4x3

Solving
B = -6 + 7x + -5x2 + 4x3

Solving for variable 'B'.

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

Simplifying
B = -6 + 7x + -5x2 + 4x3

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