f(x)=6(x^2-4)(x^2-6i^2)

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Solution for f(x)=6(x^2-4)(x^2-6i^2) equation: 


Simplifying
f(x) = 6(x2 + -4)(x2 + -6i2)

Multiply f * x
fx = 6(x2 + -4)(x2 + -6i2)

Reorder the terms:
fx = 6(-4 + x2)(x2 + -6i2)

Reorder the terms:
fx = 6(-4 + x2)(-6i2 + x2)

Multiply (-4 + x2) * (-6i2 + x2)
fx = 6(-4(-6i2 + x2) + x2(-6i2 + x2))
fx = 6((-6i2 * -4 + x2 * -4) + x2(-6i2 + x2))
fx = 6((24i2 + -4x2) + x2(-6i2 + x2))
fx = 6(24i2 + -4x2 + (-6i2 * x2 + x2 * x2))
fx = 6(24i2 + -4x2 + (-6i2x2 + x4))

Reorder the terms:
fx = 6(24i2 + -6i2x2 + -4x2 + x4)
fx = 6(24i2 + -6i2x2 + -4x2 + x4)
fx = (24i2 * 6 + -6i2x2 * 6 + -4x2 * 6 + x4 * 6)
fx = (144i2 + -36i2x2 + -24x2 + 6x4)

Solving
fx = 144i2 + -36i2x2 + -24x2 + 6x4

Solving for variable 'f'.

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

Divide each side by 'x'.
f = 144i2x-1 + -36i2x + -24x + 6x3

Simplifying
f = 144i2x-1 + -36i2x + -24x + 6x3

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