25x^6+50x^4+9x^2=0

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Solution for 25x^6+50x^4+9x^2=0 equation: 


Simplifying
25x6 + 50x4 + 9x2 = 0

Reorder the terms:
9x2 + 50x4 + 25x6 = 0

Solving
9x2 + 50x4 + 25x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(9 + 50x2 + 25x4) = 0

Factor a trinomial.
x2((9 + 5x2)(1 + 5x2)) = 0


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 '(9 + 5x2)' equal to zero and attempt to solve:

Simplifying
9 + 5x2 = 0

Solving
9 + 5x2 = 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 + 5x2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 5x2 = 0 + -9
5x2 = 0 + -9

Combine like terms: 0 + -9 = -9
5x2 = -9

Divide each side by '5'.
x2 = -1.8

Simplifying
x2 = -1.8

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 '(1 + 5x2)' equal to zero and attempt to solve:

Simplifying
1 + 5x2 = 0

Solving
1 + 5x2 = 0

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

Add '-1' to each side of the equation.
1 + -1 + 5x2 = 0 + -1

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

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

Divide each side by '5'.
x2 = -0.2

Simplifying
x2 = -0.2

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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