0=10x^4-30x^3-530x^2-90x

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Solution for 0=10x^4-30x^3-530x^2-90x equation: 


Simplifying
0 = 10x4 + -30x3 + -530x2 + -90x

Reorder the terms:
0 = -90x + -530x2 + -30x3 + 10x4

Solving
0 = -90x + -530x2 + -30x3 + 10x4

Solving for variable 'x'.
Remove the zero:
90x + 530x2 + 30x3 + -10x4 = -90x + -530x2 + -30x3 + 10x4 + 90x + 530x2 + 30x3 + -10x4

Reorder the terms:
90x + 530x2 + 30x3 + -10x4 = -90x + 90x + -530x2 + 530x2 + -30x3 + 30x3 + 10x4 + -10x4

Combine like terms: -90x + 90x = 0
90x + 530x2 + 30x3 + -10x4 = 0 + -530x2 + 530x2 + -30x3 + 30x3 + 10x4 + -10x4
90x + 530x2 + 30x3 + -10x4 = -530x2 + 530x2 + -30x3 + 30x3 + 10x4 + -10x4

Combine like terms: -530x2 + 530x2 = 0
90x + 530x2 + 30x3 + -10x4 = 0 + -30x3 + 30x3 + 10x4 + -10x4
90x + 530x2 + 30x3 + -10x4 = -30x3 + 30x3 + 10x4 + -10x4

Combine like terms: -30x3 + 30x3 = 0
90x + 530x2 + 30x3 + -10x4 = 0 + 10x4 + -10x4
90x + 530x2 + 30x3 + -10x4 = 10x4 + -10x4

Combine like terms: 10x4 + -10x4 = 0
90x + 530x2 + 30x3 + -10x4 = 0

Factor out the Greatest Common Factor (GCF), '10x'.
10x(9 + 53x + 3x2 + -1x3) = 0

Ignore the factor 10.

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 '(9 + 53x + 3x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
9 + 53x + 3x2 + -1x3 = 0

Solving
9 + 53x + 3x2 + -1x3 = 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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