6x^4+40x^2-200=0

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Solution for 6x^4+40x^2-200=0 equation: 


Simplifying
6x4 + 40x2 + -200 = 0

Reorder the terms:
-200 + 40x2 + 6x4 = 0

Solving
-200 + 40x2 + 6x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-100 + 20x2 + 3x4) = 0

Factor a trinomial.
2((-10 + -1x2)(10 + -3x2)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-10 + -1x2)' equal to zero and attempt to solve:

Simplifying
-10 + -1x2 = 0

Solving
-10 + -1x2 = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1x2 = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1x2 = 0 + 10
-1x2 = 0 + 10

Combine like terms: 0 + 10 = 10
-1x2 = 10

Divide each side by '-1'.
x2 = -10

Simplifying
x2 = -10

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 '(10 + -3x2)' equal to zero and attempt to solve:

Simplifying
10 + -3x2 = 0

Solving
10 + -3x2 = 0

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

Add '-10' to each side of the equation.
10 + -10 + -3x2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -3x2 = 0 + -10
-3x2 = 0 + -10

Combine like terms: 0 + -10 = -10
-3x2 = -10

Divide each side by '-3'.
x2 = 3.333333333

Simplifying
x2 = 3.333333333

Take the square root of each side:
x = {-1.825741858, 1.825741858}
Solution
x = {-1.825741858, 1.825741858}

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