f(x)=(x^2-2x-8)(x^2-2x+10)

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Solution for f(x)=(x^2-2x-8)(x^2-2x+10) equation:


Simplifying
f(x) = (x2 + -2x + -8)(x2 + -2x + 10)

Multiply f * x
fx = (x2 + -2x + -8)(x2 + -2x + 10)

Reorder the terms:
fx = (-8 + -2x + x2)(x2 + -2x + 10)

Reorder the terms:
fx = (-8 + -2x + x2)(10 + -2x + x2)

Multiply (-8 + -2x + x2) * (10 + -2x + x2)
fx = (-8(10 + -2x + x2) + -2x * (10 + -2x + x2) + x2(10 + -2x + x2))
fx = ((10 * -8 + -2x * -8 + x2 * -8) + -2x * (10 + -2x + x2) + x2(10 + -2x + x2))
fx = ((-80 + 16x + -8x2) + -2x * (10 + -2x + x2) + x2(10 + -2x + x2))
fx = (-80 + 16x + -8x2 + (10 * -2x + -2x * -2x + x2 * -2x) + x2(10 + -2x + x2))
fx = (-80 + 16x + -8x2 + (-20x + 4x2 + -2x3) + x2(10 + -2x + x2))
fx = (-80 + 16x + -8x2 + -20x + 4x2 + -2x3 + (10 * x2 + -2x * x2 + x2 * x2))
fx = (-80 + 16x + -8x2 + -20x + 4x2 + -2x3 + (10x2 + -2x3 + x4))

Reorder the terms:
fx = (-80 + 16x + -20x + -8x2 + 4x2 + 10x2 + -2x3 + -2x3 + x4)

Combine like terms: 16x + -20x = -4x
fx = (-80 + -4x + -8x2 + 4x2 + 10x2 + -2x3 + -2x3 + x4)

Combine like terms: -8x2 + 4x2 = -4x2
fx = (-80 + -4x + -4x2 + 10x2 + -2x3 + -2x3 + x4)

Combine like terms: -4x2 + 10x2 = 6x2
fx = (-80 + -4x + 6x2 + -2x3 + -2x3 + x4)

Combine like terms: -2x3 + -2x3 = -4x3
fx = (-80 + -4x + 6x2 + -4x3 + x4)

Solving
fx = -80 + -4x + 6x2 + -4x3 + x4

Solving for variable 'f'.

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

Divide each side by 'x'.
f = -80x-1 + -4 + 6x + -4x2 + x3

Simplifying
f = -80x-1 + -4 + 6x + -4x2 + x3

Reorder the terms:
f = -4 + -80x-1 + 6x + -4x2 + x3

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