y=(2x+3)(4x-8)-(4x-8)(2x+3)

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Solution for y=(2x+3)(4x-8)-(4x-8)(2x+3) equation:


Simplifying
y = (2x + 3)(4x + -8) + -1(4x + -8)(2x + 3)

Reorder the terms:
y = (3 + 2x)(4x + -8) + -1(4x + -8)(2x + 3)

Reorder the terms:
y = (3 + 2x)(-8 + 4x) + -1(4x + -8)(2x + 3)

Multiply (3 + 2x) * (-8 + 4x)
y = (3(-8 + 4x) + 2x * (-8 + 4x)) + -1(4x + -8)(2x + 3)
y = ((-8 * 3 + 4x * 3) + 2x * (-8 + 4x)) + -1(4x + -8)(2x + 3)
y = ((-24 + 12x) + 2x * (-8 + 4x)) + -1(4x + -8)(2x + 3)
y = (-24 + 12x + (-8 * 2x + 4x * 2x)) + -1(4x + -8)(2x + 3)
y = (-24 + 12x + (-16x + 8x2)) + -1(4x + -8)(2x + 3)

Combine like terms: 12x + -16x = -4x
y = (-24 + -4x + 8x2) + -1(4x + -8)(2x + 3)

Reorder the terms:
y = -24 + -4x + 8x2 + -1(-8 + 4x)(2x + 3)

Reorder the terms:
y = -24 + -4x + 8x2 + -1(-8 + 4x)(3 + 2x)

Multiply (-8 + 4x) * (3 + 2x)
y = -24 + -4x + 8x2 + -1(-8(3 + 2x) + 4x * (3 + 2x))
y = -24 + -4x + 8x2 + -1((3 * -8 + 2x * -8) + 4x * (3 + 2x))
y = -24 + -4x + 8x2 + -1((-24 + -16x) + 4x * (3 + 2x))
y = -24 + -4x + 8x2 + -1(-24 + -16x + (3 * 4x + 2x * 4x))
y = -24 + -4x + 8x2 + -1(-24 + -16x + (12x + 8x2))

Combine like terms: -16x + 12x = -4x
y = -24 + -4x + 8x2 + -1(-24 + -4x + 8x2)
y = -24 + -4x + 8x2 + (-24 * -1 + -4x * -1 + 8x2 * -1)
y = -24 + -4x + 8x2 + (24 + 4x + -8x2)

Reorder the terms:
y = -24 + 24 + -4x + 4x + 8x2 + -8x2

Combine like terms: -24 + 24 = 0
y = 0 + -4x + 4x + 8x2 + -8x2
y = -4x + 4x + 8x2 + -8x2

Combine like terms: -4x + 4x = 0
y = 0 + 8x2 + -8x2
y = 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
y = 0

Solving
y = 0

Solving for variable 'y'.

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

Simplifying
y = 0

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