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

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


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

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

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

Multiply (-4 + 3x) * (-4 + 3x)
Z = (-4(-4 + 3x) + 3x * (-4 + 3x)) + -1(8x + -5)(8x + 5)
Z = ((-4 * -4 + 3x * -4) + 3x * (-4 + 3x)) + -1(8x + -5)(8x + 5)
Z = ((16 + -12x) + 3x * (-4 + 3x)) + -1(8x + -5)(8x + 5)
Z = (16 + -12x + (-4 * 3x + 3x * 3x)) + -1(8x + -5)(8x + 5)
Z = (16 + -12x + (-12x + 9x2)) + -1(8x + -5)(8x + 5)

Combine like terms: -12x + -12x = -24x
Z = (16 + -24x + 9x2) + -1(8x + -5)(8x + 5)

Reorder the terms:
Z = 16 + -24x + 9x2 + -1(-5 + 8x)(8x + 5)

Reorder the terms:
Z = 16 + -24x + 9x2 + -1(-5 + 8x)(5 + 8x)

Multiply (-5 + 8x) * (5 + 8x)
Z = 16 + -24x + 9x2 + -1(-5(5 + 8x) + 8x * (5 + 8x))
Z = 16 + -24x + 9x2 + -1((5 * -5 + 8x * -5) + 8x * (5 + 8x))
Z = 16 + -24x + 9x2 + -1((-25 + -40x) + 8x * (5 + 8x))
Z = 16 + -24x + 9x2 + -1(-25 + -40x + (5 * 8x + 8x * 8x))
Z = 16 + -24x + 9x2 + -1(-25 + -40x + (40x + 64x2))

Combine like terms: -40x + 40x = 0
Z = 16 + -24x + 9x2 + -1(-25 + 0 + 64x2)
Z = 16 + -24x + 9x2 + -1(-25 + 64x2)
Z = 16 + -24x + 9x2 + (-25 * -1 + 64x2 * -1)
Z = 16 + -24x + 9x2 + (25 + -64x2)

Reorder the terms:
Z = 16 + 25 + -24x + 9x2 + -64x2

Combine like terms: 16 + 25 = 41
Z = 41 + -24x + 9x2 + -64x2

Combine like terms: 9x2 + -64x2 = -55x2
Z = 41 + -24x + -55x2

Solving
Z = 41 + -24x + -55x2

Solving for variable 'Z'.

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

Simplifying
Z = 41 + -24x + -55x2

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