6x^4-11x^2-35=0

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Solution for 6x^4-11x^2-35=0 equation: 


Simplifying
6x4 + -11x2 + -35 = 0

Reorder the terms:
-35 + -11x2 + 6x4 = 0

Solving
-35 + -11x2 + 6x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5 + -3x2)(7 + -2x2) = 0


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

Simplifying
-5 + -3x2 = 0

Solving
-5 + -3x2 = 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 + -3x2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -3x2 = 0 + 5
-3x2 = 0 + 5

Combine like terms: 0 + 5 = 5
-3x2 = 5

Divide each side by '-3'.
x2 = -1.666666667

Simplifying
x2 = -1.666666667

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 '(7 + -2x2)' equal to zero and attempt to solve:

Simplifying
7 + -2x2 = 0

Solving
7 + -2x2 = 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 + -2x2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2x2 = 0 + -7
-2x2 = 0 + -7

Combine like terms: 0 + -7 = -7
-2x2 = -7

Divide each side by '-2'.
x2 = 3.5

Simplifying
x2 = 3.5

Take the square root of each side:
x = {-1.870828693, 1.870828693}
Solution
x = {-1.870828693, 1.870828693}

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