0=x^4+4x^3+7x^2+16x+12

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Solution for 0=x^4+4x^3+7x^2+16x+12 equation: 


Simplifying
0 = x4 + 4x3 + 7x2 + 16x + 12

Reorder the terms:
0 = 12 + 16x + 7x2 + 4x3 + x4

Solving
0 = 12 + 16x + 7x2 + 4x3 + x4

Solving for variable 'x'.

Combine like terms: 0 + -12 = -12
-12 + -16x + -7x2 + -4x3 + -1x4 = 12 + 16x + 7x2 + 4x3 + x4 + -12 + -16x + -7x2 + -4x3 + -1x4

Reorder the terms:
-12 + -16x + -7x2 + -4x3 + -1x4 = 12 + -12 + 16x + -16x + 7x2 + -7x2 + 4x3 + -4x3 + x4 + -1x4

Combine like terms: 12 + -12 = 0
-12 + -16x + -7x2 + -4x3 + -1x4 = 0 + 16x + -16x + 7x2 + -7x2 + 4x3 + -4x3 + x4 + -1x4
-12 + -16x + -7x2 + -4x3 + -1x4 = 16x + -16x + 7x2 + -7x2 + 4x3 + -4x3 + x4 + -1x4

Combine like terms: 16x + -16x = 0
-12 + -16x + -7x2 + -4x3 + -1x4 = 0 + 7x2 + -7x2 + 4x3 + -4x3 + x4 + -1x4
-12 + -16x + -7x2 + -4x3 + -1x4 = 7x2 + -7x2 + 4x3 + -4x3 + x4 + -1x4

Combine like terms: 7x2 + -7x2 = 0
-12 + -16x + -7x2 + -4x3 + -1x4 = 0 + 4x3 + -4x3 + x4 + -1x4
-12 + -16x + -7x2 + -4x3 + -1x4 = 4x3 + -4x3 + x4 + -1x4

Combine like terms: 4x3 + -4x3 = 0
-12 + -16x + -7x2 + -4x3 + -1x4 = 0 + x4 + -1x4
-12 + -16x + -7x2 + -4x3 + -1x4 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
-12 + -16x + -7x2 + -4x3 + -1x4 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(12 + 16x + 7x2 + 4x3 + x4) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(12 + 16x + 7x2 + 4x3 + x4)' equal to zero and attempt to solve:

Simplifying
12 + 16x + 7x2 + 4x3 + x4 = 0

Solving
12 + 16x + 7x2 + 4x3 + x4 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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