f(x)=(6x+8)(5x-8)(2-x)

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Solution for f(x)=(6x+8)(5x-8)(2-x) equation: 


Simplifying
f(x) = (6x + 8)(5x + -8)(2 + -1x)

Multiply f * x
fx = (6x + 8)(5x + -8)(2 + -1x)

Reorder the terms:
fx = (8 + 6x)(5x + -8)(2 + -1x)

Reorder the terms:
fx = (8 + 6x)(-8 + 5x)(2 + -1x)

Multiply (8 + 6x) * (-8 + 5x)
fx = (8(-8 + 5x) + 6x * (-8 + 5x))(2 + -1x)
fx = ((-8 * 8 + 5x * 8) + 6x * (-8 + 5x))(2 + -1x)
fx = ((-64 + 40x) + 6x * (-8 + 5x))(2 + -1x)
fx = (-64 + 40x + (-8 * 6x + 5x * 6x))(2 + -1x)
fx = (-64 + 40x + (-48x + 30x2))(2 + -1x)

Combine like terms: 40x + -48x = -8x
fx = (-64 + -8x + 30x2)(2 + -1x)

Multiply (-64 + -8x + 30x2) * (2 + -1x)
fx = (-64(2 + -1x) + -8x * (2 + -1x) + 30x2 * (2 + -1x))
fx = ((2 * -64 + -1x * -64) + -8x * (2 + -1x) + 30x2 * (2 + -1x))
fx = ((-128 + 64x) + -8x * (2 + -1x) + 30x2 * (2 + -1x))
fx = (-128 + 64x + (2 * -8x + -1x * -8x) + 30x2 * (2 + -1x))
fx = (-128 + 64x + (-16x + 8x2) + 30x2 * (2 + -1x))
fx = (-128 + 64x + -16x + 8x2 + (2 * 30x2 + -1x * 30x2))
fx = (-128 + 64x + -16x + 8x2 + (60x2 + -30x3))

Combine like terms: 64x + -16x = 48x
fx = (-128 + 48x + 8x2 + 60x2 + -30x3)

Combine like terms: 8x2 + 60x2 = 68x2
fx = (-128 + 48x + 68x2 + -30x3)

Solving
fx = -128 + 48x + 68x2 + -30x3

Solving for variable 'f'.

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

Divide each side by 'x'.
f = -128x-1 + 48 + 68x + -30x2

Simplifying
f = -128x-1 + 48 + 68x + -30x2

Reorder the terms:
f = 48 + -128x-1 + 68x + -30x2

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