24x^10-24x^6-378x^2=

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Solution for 24x^10-24x^6-378x^2= equation: 


Simplifying
24x10 + -24x6 + -378x2 = 0

Reorder the terms:
-378x2 + -24x6 + 24x10 = 0

Solving
-378x2 + -24x6 + 24x10 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x2'.
6x2(-63 + -4x4 + 4x8) = 0

Factor a trinomial.
6x2((-7 + -2x4)(9 + -2x4)) = 0

Ignore the factor 6.

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 '(-7 + -2x4)' equal to zero and attempt to solve:

Simplifying
-7 + -2x4 = 0

Solving
-7 + -2x4 = 0

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

Add '7' to each side of the equation.
-7 + 7 + -2x4 = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -2x4 = 0 + 7
-2x4 = 0 + 7

Combine like terms: 0 + 7 = 7
-2x4 = 7

Divide each side by '-2'.
x4 = -3.5

Simplifying
x4 = -3.5

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 '(9 + -2x4)' equal to zero and attempt to solve:

Simplifying
9 + -2x4 = 0

Solving
9 + -2x4 = 0

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

Add '-9' to each side of the equation.
9 + -9 + -2x4 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2x4 = 0 + -9
-2x4 = 0 + -9

Combine like terms: 0 + -9 = -9
-2x4 = -9

Divide each side by '-2'.
x4 = 4.5

Simplifying
x4 = 4.5

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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