0=4x^4+16x^3-7x^2-28x

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Solution for 0=4x^4+16x^3-7x^2-28x equation: 


Simplifying
0 = 4x4 + 16x3 + -7x2 + -28x

Reorder the terms:
0 = -28x + -7x2 + 16x3 + 4x4

Solving
0 = -28x + -7x2 + 16x3 + 4x4

Solving for variable 'x'.
Remove the zero:
28x + 7x2 + -16x3 + -4x4 = -28x + -7x2 + 16x3 + 4x4 + 28x + 7x2 + -16x3 + -4x4

Reorder the terms:
28x + 7x2 + -16x3 + -4x4 = -28x + 28x + -7x2 + 7x2 + 16x3 + -16x3 + 4x4 + -4x4

Combine like terms: -28x + 28x = 0
28x + 7x2 + -16x3 + -4x4 = 0 + -7x2 + 7x2 + 16x3 + -16x3 + 4x4 + -4x4
28x + 7x2 + -16x3 + -4x4 = -7x2 + 7x2 + 16x3 + -16x3 + 4x4 + -4x4

Combine like terms: -7x2 + 7x2 = 0
28x + 7x2 + -16x3 + -4x4 = 0 + 16x3 + -16x3 + 4x4 + -4x4
28x + 7x2 + -16x3 + -4x4 = 16x3 + -16x3 + 4x4 + -4x4

Combine like terms: 16x3 + -16x3 = 0
28x + 7x2 + -16x3 + -4x4 = 0 + 4x4 + -4x4
28x + 7x2 + -16x3 + -4x4 = 4x4 + -4x4

Combine like terms: 4x4 + -4x4 = 0
28x + 7x2 + -16x3 + -4x4 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(28 + 7x + -16x2 + -4x3) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(28 + 7x + -16x2 + -4x3)' equal to zero and attempt to solve:

Simplifying
28 + 7x + -16x2 + -4x3 = 0

Solving
28 + 7x + -16x2 + -4x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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