320=(x+8)(x+16)-w(x+8)

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Solution for 320=(x+8)(x+16)-w(x+8) equation: 


Simplifying
320 = (x + 8)(x + 16) + -1w(x + 8)

Reorder the terms:
320 = (8 + x)(x + 16) + -1w(x + 8)

Reorder the terms:
320 = (8 + x)(16 + x) + -1w(x + 8)

Multiply (8 + x) * (16 + x)
320 = (8(16 + x) + x(16 + x)) + -1w(x + 8)
320 = ((16 * 8 + x * 8) + x(16 + x)) + -1w(x + 8)
320 = ((128 + 8x) + x(16 + x)) + -1w(x + 8)
320 = (128 + 8x + (16 * x + x * x)) + -1w(x + 8)
320 = (128 + 8x + (16x + x2)) + -1w(x + 8)

Combine like terms: 8x + 16x = 24x
320 = (128 + 24x + x2) + -1w(x + 8)

Reorder the terms:
320 = 128 + 24x + x2 + -1w(8 + x)
320 = 128 + 24x + x2 + (8 * -1w + x * -1w)
320 = 128 + 24x + x2 + (-8w + -1wx)

Reorder the terms:
320 = 128 + -8w + -1wx + 24x + x2

Solving
320 = 128 + -8w + -1wx + 24x + x2

Solving for variable 'w'.

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

Add '8w' to each side of the equation.
320 + 8w = 128 + -8w + -1wx + 24x + 8w + x2

Reorder the terms:
320 + 8w = 128 + -8w + 8w + -1wx + 24x + x2

Combine like terms: -8w + 8w = 0
320 + 8w = 128 + 0 + -1wx + 24x + x2
320 + 8w = 128 + -1wx + 24x + x2

Add 'wx' to each side of the equation.
320 + 8w + wx = 128 + -1wx + 24x + wx + x2

Reorder the terms:
320 + 8w + wx = 128 + -1wx + wx + 24x + x2

Combine like terms: -1wx + wx = 0
320 + 8w + wx = 128 + 0 + 24x + x2
320 + 8w + wx = 128 + 24x + x2

Add '-320' to each side of the equation.
320 + 8w + -320 + wx = 128 + 24x + -320 + x2

Reorder the terms:
320 + -320 + 8w + wx = 128 + 24x + -320 + x2

Combine like terms: 320 + -320 = 0
0 + 8w + wx = 128 + 24x + -320 + x2
8w + wx = 128 + 24x + -320 + x2

Reorder the terms:
8w + wx = 128 + -320 + 24x + x2

Combine like terms: 128 + -320 = -192
8w + wx = -192 + 24x + x2

Reorder the terms:
192 + 8w + wx + -24x + -1x2 = -192 + 24x + x2 + 192 + -24x + -1x2

Reorder the terms:
192 + 8w + wx + -24x + -1x2 = -192 + 192 + 24x + -24x + x2 + -1x2

Combine like terms: -192 + 192 = 0
192 + 8w + wx + -24x + -1x2 = 0 + 24x + -24x + x2 + -1x2
192 + 8w + wx + -24x + -1x2 = 24x + -24x + x2 + -1x2

Combine like terms: 24x + -24x = 0
192 + 8w + wx + -24x + -1x2 = 0 + x2 + -1x2
192 + 8w + wx + -24x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
192 + 8w + wx + -24x + -1x2 = 0

The solution to this equation could not be determined.

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