0=x^4-3x^3-10x^2+24x

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Solution for 0=x^4-3x^3-10x^2+24x equation: 


Simplifying
0 = x4 + -3x3 + -10x2 + 24x

Reorder the terms:
0 = 24x + -10x2 + -3x3 + x4

Solving
0 = 24x + -10x2 + -3x3 + x4

Solving for variable 'x'.
Remove the zero:
-24x + 10x2 + 3x3 + -1x4 = 24x + -10x2 + -3x3 + x4 + -24x + 10x2 + 3x3 + -1x4

Reorder the terms:
-24x + 10x2 + 3x3 + -1x4 = 24x + -24x + -10x2 + 10x2 + -3x3 + 3x3 + x4 + -1x4

Combine like terms: 24x + -24x = 0
-24x + 10x2 + 3x3 + -1x4 = 0 + -10x2 + 10x2 + -3x3 + 3x3 + x4 + -1x4
-24x + 10x2 + 3x3 + -1x4 = -10x2 + 10x2 + -3x3 + 3x3 + x4 + -1x4

Combine like terms: -10x2 + 10x2 = 0
-24x + 10x2 + 3x3 + -1x4 = 0 + -3x3 + 3x3 + x4 + -1x4
-24x + 10x2 + 3x3 + -1x4 = -3x3 + 3x3 + x4 + -1x4

Combine like terms: -3x3 + 3x3 = 0
-24x + 10x2 + 3x3 + -1x4 = 0 + x4 + -1x4
-24x + 10x2 + 3x3 + -1x4 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
-24x + 10x2 + 3x3 + -1x4 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-24 + 10x + 3x2 + -1x3) = 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 '(-24 + 10x + 3x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
-24 + 10x + 3x2 + -1x3 = 0

Solving
-24 + 10x + 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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