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

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Solution for 0=(x^2-4x+4)(x^2-4x+4) equation: 


Simplifying
0 = (x2 + -4x + 4)(x2 + -4x + 4)

Reorder the terms:
0 = (4 + -4x + x2)(x2 + -4x + 4)

Reorder the terms:
0 = (4 + -4x + x2)(4 + -4x + x2)

Multiply (4 + -4x + x2) * (4 + -4x + x2)
0 = (4(4 + -4x + x2) + -4x * (4 + -4x + x2) + x2(4 + -4x + x2))
0 = ((4 * 4 + -4x * 4 + x2 * 4) + -4x * (4 + -4x + x2) + x2(4 + -4x + x2))
0 = ((16 + -16x + 4x2) + -4x * (4 + -4x + x2) + x2(4 + -4x + x2))
0 = (16 + -16x + 4x2 + (4 * -4x + -4x * -4x + x2 * -4x) + x2(4 + -4x + x2))
0 = (16 + -16x + 4x2 + (-16x + 16x2 + -4x3) + x2(4 + -4x + x2))
0 = (16 + -16x + 4x2 + -16x + 16x2 + -4x3 + (4 * x2 + -4x * x2 + x2 * x2))
0 = (16 + -16x + 4x2 + -16x + 16x2 + -4x3 + (4x2 + -4x3 + x4))

Reorder the terms:
0 = (16 + -16x + -16x + 4x2 + 16x2 + 4x2 + -4x3 + -4x3 + x4)

Combine like terms: -16x + -16x = -32x
0 = (16 + -32x + 4x2 + 16x2 + 4x2 + -4x3 + -4x3 + x4)

Combine like terms: 4x2 + 16x2 = 20x2
0 = (16 + -32x + 20x2 + 4x2 + -4x3 + -4x3 + x4)

Combine like terms: 20x2 + 4x2 = 24x2
0 = (16 + -32x + 24x2 + -4x3 + -4x3 + x4)

Combine like terms: -4x3 + -4x3 = -8x3
0 = (16 + -32x + 24x2 + -8x3 + x4)

Solving
0 = 16 + -32x + 24x2 + -8x3 + x4

Solving for variable 'x'.

Combine like terms: 0 + -16 = -16
-16 + 32x + -24x2 + 8x3 + -1x4 = 16 + -32x + 24x2 + -8x3 + x4 + -16 + 32x + -24x2 + 8x3 + -1x4

Reorder the terms:
-16 + 32x + -24x2 + 8x3 + -1x4 = 16 + -16 + -32x + 32x + 24x2 + -24x2 + -8x3 + 8x3 + x4 + -1x4

Combine like terms: 16 + -16 = 0
-16 + 32x + -24x2 + 8x3 + -1x4 = 0 + -32x + 32x + 24x2 + -24x2 + -8x3 + 8x3 + x4 + -1x4
-16 + 32x + -24x2 + 8x3 + -1x4 = -32x + 32x + 24x2 + -24x2 + -8x3 + 8x3 + x4 + -1x4

Combine like terms: -32x + 32x = 0
-16 + 32x + -24x2 + 8x3 + -1x4 = 0 + 24x2 + -24x2 + -8x3 + 8x3 + x4 + -1x4
-16 + 32x + -24x2 + 8x3 + -1x4 = 24x2 + -24x2 + -8x3 + 8x3 + x4 + -1x4

Combine like terms: 24x2 + -24x2 = 0
-16 + 32x + -24x2 + 8x3 + -1x4 = 0 + -8x3 + 8x3 + x4 + -1x4
-16 + 32x + -24x2 + 8x3 + -1x4 = -8x3 + 8x3 + x4 + -1x4

Combine like terms: -8x3 + 8x3 = 0
-16 + 32x + -24x2 + 8x3 + -1x4 = 0 + x4 + -1x4
-16 + 32x + -24x2 + 8x3 + -1x4 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
-16 + 32x + -24x2 + 8x3 + -1x4 = 0

The solution to this equation could not be determined.

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