B=(3x+7)(3x+7)+(-x+4)(-x+4)

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Solution for B=(3x+7)(3x+7)+(-x+4)(-x+4) equation: 


Simplifying
B = (3x + 7)(3x + 7) + (-1x + 4)(-1x + 4)

Reorder the terms:
B = (7 + 3x)(3x + 7) + (-1x + 4)(-1x + 4)

Reorder the terms:
B = (7 + 3x)(7 + 3x) + (-1x + 4)(-1x + 4)

Multiply (7 + 3x) * (7 + 3x)
B = (7(7 + 3x) + 3x * (7 + 3x)) + (-1x + 4)(-1x + 4)
B = ((7 * 7 + 3x * 7) + 3x * (7 + 3x)) + (-1x + 4)(-1x + 4)
B = ((49 + 21x) + 3x * (7 + 3x)) + (-1x + 4)(-1x + 4)
B = (49 + 21x + (7 * 3x + 3x * 3x)) + (-1x + 4)(-1x + 4)
B = (49 + 21x + (21x + 9x2)) + (-1x + 4)(-1x + 4)

Combine like terms: 21x + 21x = 42x
B = (49 + 42x + 9x2) + (-1x + 4)(-1x + 4)

Reorder the terms:
B = 49 + 42x + 9x2 + (4 + -1x)(-1x + 4)

Reorder the terms:
B = 49 + 42x + 9x2 + (4 + -1x)(4 + -1x)

Multiply (4 + -1x) * (4 + -1x)
B = 49 + 42x + 9x2 + (4(4 + -1x) + -1x * (4 + -1x))
B = 49 + 42x + 9x2 + ((4 * 4 + -1x * 4) + -1x * (4 + -1x))
B = 49 + 42x + 9x2 + ((16 + -4x) + -1x * (4 + -1x))
B = 49 + 42x + 9x2 + (16 + -4x + (4 * -1x + -1x * -1x))
B = 49 + 42x + 9x2 + (16 + -4x + (-4x + 1x2))

Combine like terms: -4x + -4x = -8x
B = 49 + 42x + 9x2 + (16 + -8x + 1x2)

Reorder the terms:
B = 49 + 16 + 42x + -8x + 9x2 + 1x2

Combine like terms: 49 + 16 = 65
B = 65 + 42x + -8x + 9x2 + 1x2

Combine like terms: 42x + -8x = 34x
B = 65 + 34x + 9x2 + 1x2

Combine like terms: 9x2 + 1x2 = 10x2
B = 65 + 34x + 10x2

Solving
B = 65 + 34x + 10x2

Solving for variable 'B'.

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

Simplifying
B = 65 + 34x + 10x2

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