7x^8-38x^6+15x^4=0

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Solution for 7x^8-38x^6+15x^4=0 equation: 


Simplifying
7x8 + -38x6 + 15x4 = 0

Reorder the terms:
15x4 + -38x6 + 7x8 = 0

Solving
15x4 + -38x6 + 7x8 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x4'.
x4(15 + -38x2 + 7x4) = 0

Factor a trinomial.
x4((3 + -7x2)(5 + -1x2)) = 0


Subproblem 1
Set the factor 'x4' equal to zero and attempt to solve:

Simplifying
x4 = 0

Solving
x4 = 0

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

Simplifying
x4 = 0

The solution to this equation could not be determined.

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

Subproblem 2
Set the factor '(3 + -7x2)' equal to zero and attempt to solve:

Simplifying
3 + -7x2 = 0

Solving
3 + -7x2 = 0

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

Add '-3' to each side of the equation.
3 + -3 + -7x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -7x2 = 0 + -3
-7x2 = 0 + -3

Combine like terms: 0 + -3 = -3
-7x2 = -3

Divide each side by '-7'.
x2 = 0.4285714286

Simplifying
x2 = 0.4285714286

Take the square root of each side:
x = {-0.654653671, 0.654653671}

Subproblem 3
Set the factor '(5 + -1x2)' equal to zero and attempt to solve:

Simplifying
5 + -1x2 = 0

Solving
5 + -1x2 = 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 + -1x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x2 = 0 + -5
-1x2 = 0 + -5

Combine like terms: 0 + -5 = -5
-1x2 = -5

Divide each side by '-1'.
x2 = 5

Simplifying
x2 = 5

Take the square root of each side:
x = {-2.236067978, 2.236067978}
Solution
x = {-0.654653671, 0.654653671, -2.236067978, 2.236067978}

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