B=(x+5)(4x-2)-(x+5)(9x+1)

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Solution for B=(x+5)(4x-2)-(x+5)(9x+1) equation:


Simplifying
B = (x + 5)(4x + -2) + -1(x + 5)(9x + 1)

Reorder the terms:
B = (5 + x)(4x + -2) + -1(x + 5)(9x + 1)

Reorder the terms:
B = (5 + x)(-2 + 4x) + -1(x + 5)(9x + 1)

Multiply (5 + x) * (-2 + 4x)
B = (5(-2 + 4x) + x(-2 + 4x)) + -1(x + 5)(9x + 1)
B = ((-2 * 5 + 4x * 5) + x(-2 + 4x)) + -1(x + 5)(9x + 1)
B = ((-10 + 20x) + x(-2 + 4x)) + -1(x + 5)(9x + 1)
B = (-10 + 20x + (-2 * x + 4x * x)) + -1(x + 5)(9x + 1)
B = (-10 + 20x + (-2x + 4x2)) + -1(x + 5)(9x + 1)

Combine like terms: 20x + -2x = 18x
B = (-10 + 18x + 4x2) + -1(x + 5)(9x + 1)

Reorder the terms:
B = -10 + 18x + 4x2 + -1(5 + x)(9x + 1)

Reorder the terms:
B = -10 + 18x + 4x2 + -1(5 + x)(1 + 9x)

Multiply (5 + x) * (1 + 9x)
B = -10 + 18x + 4x2 + -1(5(1 + 9x) + x(1 + 9x))
B = -10 + 18x + 4x2 + -1((1 * 5 + 9x * 5) + x(1 + 9x))
B = -10 + 18x + 4x2 + -1((5 + 45x) + x(1 + 9x))
B = -10 + 18x + 4x2 + -1(5 + 45x + (1 * x + 9x * x))
B = -10 + 18x + 4x2 + -1(5 + 45x + (1x + 9x2))

Combine like terms: 45x + 1x = 46x
B = -10 + 18x + 4x2 + -1(5 + 46x + 9x2)
B = -10 + 18x + 4x2 + (5 * -1 + 46x * -1 + 9x2 * -1)
B = -10 + 18x + 4x2 + (-5 + -46x + -9x2)

Reorder the terms:
B = -10 + -5 + 18x + -46x + 4x2 + -9x2

Combine like terms: -10 + -5 = -15
B = -15 + 18x + -46x + 4x2 + -9x2

Combine like terms: 18x + -46x = -28x
B = -15 + -28x + 4x2 + -9x2

Combine like terms: 4x2 + -9x2 = -5x2
B = -15 + -28x + -5x2

Solving
B = -15 + -28x + -5x2

Solving for variable 'B'.

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

Simplifying
B = -15 + -28x + -5x2

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