f(x)=-3(x+4)(x-4)(x-4)(x-4)

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


Simplifying
f(x) = -3(x + 4)(x + -4)(x + -4)(x + -4)

Multiply f * x
fx = -3(x + 4)(x + -4)(x + -4)(x + -4)

Reorder the terms:
fx = -3(4 + x)(x + -4)(x + -4)(x + -4)

Reorder the terms:
fx = -3(4 + x)(-4 + x)(x + -4)(x + -4)

Reorder the terms:
fx = -3(4 + x)(-4 + x)(-4 + x)(x + -4)

Reorder the terms:
fx = -3(4 + x)(-4 + x)(-4 + x)(-4 + x)

Multiply (4 + x) * (-4 + x)
fx = -3(4(-4 + x) + x(-4 + x))(-4 + x)(-4 + x)
fx = -3((-4 * 4 + x * 4) + x(-4 + x))(-4 + x)(-4 + x)
fx = -3((-16 + 4x) + x(-4 + x))(-4 + x)(-4 + x)
fx = -3(-16 + 4x + (-4 * x + x * x))(-4 + x)(-4 + x)
fx = -3(-16 + 4x + (-4x + x2))(-4 + x)(-4 + x)

Combine like terms: 4x + -4x = 0
fx = -3(-16 + 0 + x2)(-4 + x)(-4 + x)
fx = -3(-16 + x2)(-4 + x)(-4 + x)

Multiply (-16 + x2) * (-4 + x)
fx = -3(-16(-4 + x) + x2(-4 + x))(-4 + x)
fx = -3((-4 * -16 + x * -16) + x2(-4 + x))(-4 + x)
fx = -3((64 + -16x) + x2(-4 + x))(-4 + x)
fx = -3(64 + -16x + (-4 * x2 + x * x2))(-4 + x)
fx = -3(64 + -16x + (-4x2 + x3))(-4 + x)
fx = -3(64 + -16x + -4x2 + x3)(-4 + x)

Multiply (64 + -16x + -4x2 + x3) * (-4 + x)
fx = -3(64(-4 + x) + -16x * (-4 + x) + -4x2 * (-4 + x) + x3(-4 + x))
fx = -3((-4 * 64 + x * 64) + -16x * (-4 + x) + -4x2 * (-4 + x) + x3(-4 + x))
fx = -3((-256 + 64x) + -16x * (-4 + x) + -4x2 * (-4 + x) + x3(-4 + x))
fx = -3(-256 + 64x + (-4 * -16x + x * -16x) + -4x2 * (-4 + x) + x3(-4 + x))
fx = -3(-256 + 64x + (64x + -16x2) + -4x2 * (-4 + x) + x3(-4 + x))
fx = -3(-256 + 64x + 64x + -16x2 + (-4 * -4x2 + x * -4x2) + x3(-4 + x))
fx = -3(-256 + 64x + 64x + -16x2 + (16x2 + -4x3) + x3(-4 + x))
fx = -3(-256 + 64x + 64x + -16x2 + 16x2 + -4x3 + (-4 * x3 + x * x3))
fx = -3(-256 + 64x + 64x + -16x2 + 16x2 + -4x3 + (-4x3 + x4))

Combine like terms: 64x + 64x = 128x
fx = -3(-256 + 128x + -16x2 + 16x2 + -4x3 + -4x3 + x4)

Combine like terms: -16x2 + 16x2 = 0
fx = -3(-256 + 128x + 0 + -4x3 + -4x3 + x4)
fx = -3(-256 + 128x + -4x3 + -4x3 + x4)

Combine like terms: -4x3 + -4x3 = -8x3
fx = -3(-256 + 128x + -8x3 + x4)
fx = (-256 * -3 + 128x * -3 + -8x3 * -3 + x4 * -3)
fx = (768 + -384x + 24x3 + -3x4)

Solving
fx = 768 + -384x + 24x3 + -3x4

Solving for variable 'f'.

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

Divide each side by 'x'.
f = 768x-1 + -384 + 24x2 + -3x3

Simplifying
f = 768x-1 + -384 + 24x2 + -3x3

Reorder the terms:
f = -384 + 768x-1 + 24x2 + -3x3

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