(x+2+2p^2)(x+2-2p^2)=x^2+4x-4-4p^4

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Solution for (x+2+2p^2)(x+2-2p^2)=x^2+4x-4-4p^4 equation: 


Simplifying
(x + 2 + 2p2)(x + 2 + -2p2) = x2 + 4x + -4 + -4p4

Reorder the terms:
(2 + 2p2 + x)(x + 2 + -2p2) = x2 + 4x + -4 + -4p4

Reorder the terms:
(2 + 2p2 + x)(2 + -2p2 + x) = x2 + 4x + -4 + -4p4

Multiply (2 + 2p2 + x) * (2 + -2p2 + x)
(2(2 + -2p2 + x) + 2p2 * (2 + -2p2 + x) + x(2 + -2p2 + x)) = x2 + 4x + -4 + -4p4
((2 * 2 + -2p2 * 2 + x * 2) + 2p2 * (2 + -2p2 + x) + x(2 + -2p2 + x)) = x2 + 4x + -4 + -4p4
((4 + -4p2 + 2x) + 2p2 * (2 + -2p2 + x) + x(2 + -2p2 + x)) = x2 + 4x + -4 + -4p4
(4 + -4p2 + 2x + (2 * 2p2 + -2p2 * 2p2 + x * 2p2) + x(2 + -2p2 + x)) = x2 + 4x + -4 + -4p4

Reorder the terms:
(4 + -4p2 + 2x + (4p2 + 2p2x + -4p4) + x(2 + -2p2 + x)) = x2 + 4x + -4 + -4p4
(4 + -4p2 + 2x + (4p2 + 2p2x + -4p4) + x(2 + -2p2 + x)) = x2 + 4x + -4 + -4p4
(4 + -4p2 + 2x + 4p2 + 2p2x + -4p4 + (2 * x + -2p2 * x + x * x)) = x2 + 4x + -4 + -4p4

Reorder the terms:
(4 + -4p2 + 2x + 4p2 + 2p2x + -4p4 + (-2p2x + 2x + x2)) = x2 + 4x + -4 + -4p4
(4 + -4p2 + 2x + 4p2 + 2p2x + -4p4 + (-2p2x + 2x + x2)) = x2 + 4x + -4 + -4p4

Reorder the terms:
(4 + -4p2 + 4p2 + 2p2x + -2p2x + -4p4 + 2x + 2x + x2) = x2 + 4x + -4 + -4p4

Combine like terms: -4p2 + 4p2 = 0
(4 + 0 + 2p2x + -2p2x + -4p4 + 2x + 2x + x2) = x2 + 4x + -4 + -4p4
(4 + 2p2x + -2p2x + -4p4 + 2x + 2x + x2) = x2 + 4x + -4 + -4p4

Combine like terms: 2p2x + -2p2x = 0
(4 + 0 + -4p4 + 2x + 2x + x2) = x2 + 4x + -4 + -4p4
(4 + -4p4 + 2x + 2x + x2) = x2 + 4x + -4 + -4p4

Combine like terms: 2x + 2x = 4x
(4 + -4p4 + 4x + x2) = x2 + 4x + -4 + -4p4

Reorder the terms:
4 + -4p4 + 4x + x2 = -4 + -4p4 + 4x + x2

Add '4p4' to each side of the equation.
4 + -4p4 + 4x + 4p4 + x2 = -4 + -4p4 + 4x + 4p4 + x2

Reorder the terms:
4 + -4p4 + 4p4 + 4x + x2 = -4 + -4p4 + 4x + 4p4 + x2

Combine like terms: -4p4 + 4p4 = 0
4 + 0 + 4x + x2 = -4 + -4p4 + 4x + 4p4 + x2
4 + 4x + x2 = -4 + -4p4 + 4x + 4p4 + x2

Reorder the terms:
4 + 4x + x2 = -4 + -4p4 + 4p4 + 4x + x2

Combine like terms: -4p4 + 4p4 = 0
4 + 4x + x2 = -4 + 0 + 4x + x2
4 + 4x + x2 = -4 + 4x + x2

Add '-4x' to each side of the equation.
4 + 4x + -4x + x2 = -4 + 4x + -4x + x2

Combine like terms: 4x + -4x = 0
4 + 0 + x2 = -4 + 4x + -4x + x2
4 + x2 = -4 + 4x + -4x + x2

Combine like terms: 4x + -4x = 0
4 + x2 = -4 + 0 + x2
4 + x2 = -4 + x2

Add '-1x2' to each side of the equation.
4 + x2 + -1x2 = -4 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
4 + 0 = -4 + x2 + -1x2
4 = -4 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
4 = -4 + 0
4 = -4

Solving
4 = -4

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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