Z=(3x-4)*2-(8x-5)(8x+5)

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Solution for Z=(3x-4)*2-(8x-5)(8x+5) equation:


Simplifying
Z = (3x + -4) * 2 + -1(8x + -5)(8x + 5)

Reorder the terms:
Z = (-4 + 3x) * 2 + -1(8x + -5)(8x + 5)

Reorder the terms for easier multiplication:
Z = 2(-4 + 3x) + -1(8x + -5)(8x + 5)
Z = (-4 * 2 + 3x * 2) + -1(8x + -5)(8x + 5)
Z = (-8 + 6x) + -1(8x + -5)(8x + 5)

Reorder the terms:
Z = -8 + 6x + -1(-5 + 8x)(8x + 5)

Reorder the terms:
Z = -8 + 6x + -1(-5 + 8x)(5 + 8x)

Multiply (-5 + 8x) * (5 + 8x)
Z = -8 + 6x + -1(-5(5 + 8x) + 8x * (5 + 8x))
Z = -8 + 6x + -1((5 * -5 + 8x * -5) + 8x * (5 + 8x))
Z = -8 + 6x + -1((-25 + -40x) + 8x * (5 + 8x))
Z = -8 + 6x + -1(-25 + -40x + (5 * 8x + 8x * 8x))
Z = -8 + 6x + -1(-25 + -40x + (40x + 64x2))

Combine like terms: -40x + 40x = 0
Z = -8 + 6x + -1(-25 + 0 + 64x2)
Z = -8 + 6x + -1(-25 + 64x2)
Z = -8 + 6x + (-25 * -1 + 64x2 * -1)
Z = -8 + 6x + (25 + -64x2)

Reorder the terms:
Z = -8 + 25 + 6x + -64x2

Combine like terms: -8 + 25 = 17
Z = 17 + 6x + -64x2

Solving
Z = 17 + 6x + -64x2

Solving for variable 'Z'.

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

Simplifying
Z = 17 + 6x + -64x2

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