p(x)=(x^2-2)(x^2+2)

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Solution for p(x)=(x^2-2)(x^2+2) equation: 


Simplifying
p(x) = (x2 + -2)(x2 + 2)

Multiply p * x
px = (x2 + -2)(x2 + 2)

Reorder the terms:
px = (-2 + x2)(x2 + 2)

Reorder the terms:
px = (-2 + x2)(2 + x2)

Multiply (-2 + x2) * (2 + x2)
px = (-2(2 + x2) + x2(2 + x2))
px = ((2 * -2 + x2 * -2) + x2(2 + x2))
px = ((-4 + -2x2) + x2(2 + x2))
px = (-4 + -2x2 + (2 * x2 + x2 * x2))
px = (-4 + -2x2 + (2x2 + x4))

Combine like terms: -2x2 + 2x2 = 0
px = (-4 + 0 + x4)
px = (-4 + x4)

Solving
px = -4 + x4

Solving for variable 'p'.

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

Divide each side by 'x'.
p = -4x-1 + x3

Simplifying
p = -4x-1 + x3

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