0=x^4-4x^3-32x^2-48x+16

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Solution for 0=x^4-4x^3-32x^2-48x+16 equation:


Simplifying
0 = x4 + -4x3 + -32x2 + -48x + 16

Reorder the terms:
0 = 16 + -48x + -32x2 + -4x3 + x4

Solving
0 = 16 + -48x + -32x2 + -4x3 + x4

Solving for variable 'x'.

Combine like terms: 0 + -16 = -16
-16 + 48x + 32x2 + 4x3 + -1x4 = 16 + -48x + -32x2 + -4x3 + x4 + -16 + 48x + 32x2 + 4x3 + -1x4

Reorder the terms:
-16 + 48x + 32x2 + 4x3 + -1x4 = 16 + -16 + -48x + 48x + -32x2 + 32x2 + -4x3 + 4x3 + x4 + -1x4

Combine like terms: 16 + -16 = 0
-16 + 48x + 32x2 + 4x3 + -1x4 = 0 + -48x + 48x + -32x2 + 32x2 + -4x3 + 4x3 + x4 + -1x4
-16 + 48x + 32x2 + 4x3 + -1x4 = -48x + 48x + -32x2 + 32x2 + -4x3 + 4x3 + x4 + -1x4

Combine like terms: -48x + 48x = 0
-16 + 48x + 32x2 + 4x3 + -1x4 = 0 + -32x2 + 32x2 + -4x3 + 4x3 + x4 + -1x4
-16 + 48x + 32x2 + 4x3 + -1x4 = -32x2 + 32x2 + -4x3 + 4x3 + x4 + -1x4

Combine like terms: -32x2 + 32x2 = 0
-16 + 48x + 32x2 + 4x3 + -1x4 = 0 + -4x3 + 4x3 + x4 + -1x4
-16 + 48x + 32x2 + 4x3 + -1x4 = -4x3 + 4x3 + x4 + -1x4

Combine like terms: -4x3 + 4x3 = 0
-16 + 48x + 32x2 + 4x3 + -1x4 = 0 + x4 + -1x4
-16 + 48x + 32x2 + 4x3 + -1x4 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
-16 + 48x + 32x2 + 4x3 + -1x4 = 0

The solution to this equation could not be determined.

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