x^4+64=13(x^2-4x+8)

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Solution for x^4+64=13(x^2-4x+8) equation:


Simplifying
x4 + 64 = 13(x2 + -4x + 8)

Reorder the terms:
64 + x4 = 13(x2 + -4x + 8)

Reorder the terms:
64 + x4 = 13(8 + -4x + x2)
64 + x4 = (8 * 13 + -4x * 13 + x2 * 13)
64 + x4 = (104 + -52x + 13x2)

Solving
64 + x4 = 104 + -52x + 13x2

Solving for variable 'x'.

Reorder the terms:
64 + -104 + 52x + -13x2 + x4 = 104 + -52x + 13x2 + -104 + 52x + -13x2

Combine like terms: 64 + -104 = -40
-40 + 52x + -13x2 + x4 = 104 + -52x + 13x2 + -104 + 52x + -13x2

Reorder the terms:
-40 + 52x + -13x2 + x4 = 104 + -104 + -52x + 52x + 13x2 + -13x2

Combine like terms: 104 + -104 = 0
-40 + 52x + -13x2 + x4 = 0 + -52x + 52x + 13x2 + -13x2
-40 + 52x + -13x2 + x4 = -52x + 52x + 13x2 + -13x2

Combine like terms: -52x + 52x = 0
-40 + 52x + -13x2 + x4 = 0 + 13x2 + -13x2
-40 + 52x + -13x2 + x4 = 13x2 + -13x2

Combine like terms: 13x2 + -13x2 = 0
-40 + 52x + -13x2 + x4 = 0

The solution to this equation could not be determined.

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