=24x^2+4x^5+16x^4+8x^3

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Solution for =24x^2+4x^5+16x^4+8x^3 equation: 


Simplifying
0 = 24x2 + 4x5 + 16x4 + 8x3

Reorder the terms:
0 = 24x2 + 8x3 + 16x4 + 4x5

Solving
0 = 24x2 + 8x3 + 16x4 + 4x5

Solving for variable 'x'.
Remove the zero:
-24x2 + -8x3 + -16x4 + -4x5 = 24x2 + 8x3 + 16x4 + 4x5 + -24x2 + -8x3 + -16x4 + -4x5

Reorder the terms:
-24x2 + -8x3 + -16x4 + -4x5 = 24x2 + -24x2 + 8x3 + -8x3 + 16x4 + -16x4 + 4x5 + -4x5

Combine like terms: 24x2 + -24x2 = 0
-24x2 + -8x3 + -16x4 + -4x5 = 0 + 8x3 + -8x3 + 16x4 + -16x4 + 4x5 + -4x5
-24x2 + -8x3 + -16x4 + -4x5 = 8x3 + -8x3 + 16x4 + -16x4 + 4x5 + -4x5

Combine like terms: 8x3 + -8x3 = 0
-24x2 + -8x3 + -16x4 + -4x5 = 0 + 16x4 + -16x4 + 4x5 + -4x5
-24x2 + -8x3 + -16x4 + -4x5 = 16x4 + -16x4 + 4x5 + -4x5

Combine like terms: 16x4 + -16x4 = 0
-24x2 + -8x3 + -16x4 + -4x5 = 0 + 4x5 + -4x5
-24x2 + -8x3 + -16x4 + -4x5 = 4x5 + -4x5

Combine like terms: 4x5 + -4x5 = 0
-24x2 + -8x3 + -16x4 + -4x5 = 0

Factor out the Greatest Common Factor (GCF), '-4x2'.
-4x2(6 + 2x + 4x2 + x3) = 0

Ignore the factor -4.

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(6 + 2x + 4x2 + x3)' equal to zero and attempt to solve:

Simplifying
6 + 2x + 4x2 + x3 = 0

Solving
6 + 2x + 4x2 + x3 = 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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