3x^8+3x^5-60x^2=0

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Solution for 3x^8+3x^5-60x^2=0 equation: 


Simplifying
3x8 + 3x5 + -60x2 = 0

Reorder the terms:
-60x2 + 3x5 + 3x8 = 0

Solving
-60x2 + 3x5 + 3x8 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x2'.
3x2(-20 + x3 + x6) = 0

Factor a trinomial.
3x2((-5 + -1x3)(4 + -1x3)) = 0

Ignore the factor 3.

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 '(-5 + -1x3)' equal to zero and attempt to solve:

Simplifying
-5 + -1x3 = 0

Solving
-5 + -1x3 = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1x3 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1x3 = 0 + 5
-1x3 = 0 + 5

Combine like terms: 0 + 5 = 5
-1x3 = 5

Divide each side by '-1'.
x3 = -5

Simplifying
x3 = -5

The solution to this equation could not be determined.

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

Subproblem 3
Set the factor '(4 + -1x3)' equal to zero and attempt to solve:

Simplifying
4 + -1x3 = 0

Solving
4 + -1x3 = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x3 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x3 = 0 + -4
-1x3 = 0 + -4

Combine like terms: 0 + -4 = -4
-1x3 = -4

Divide each side by '-1'.
x3 = 4

Simplifying
x3 = 4

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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