3x^4-14x^2-49=0

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Solution for 3x^4-14x^2-49=0 equation: 


Simplifying
3x4 + -14x2 + -49 = 0

Reorder the terms:
-49 + -14x2 + 3x4 = 0

Solving
-49 + -14x2 + 3x4 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(-7 + -3x2)' equal to zero and attempt to solve:

Simplifying
-7 + -3x2 = 0

Solving
-7 + -3x2 = 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 + -3x2 = 0 + 7

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

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

Divide each side by '-3'.
x2 = -2.333333333

Simplifying
x2 = -2.333333333

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

Simplifying
7 + -1x2 = 0

Solving
7 + -1x2 = 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 + -1x2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x2 = 0 + -7
-1x2 = 0 + -7

Combine like terms: 0 + -7 = -7
-1x2 = -7

Divide each side by '-1'.
x2 = 7

Simplifying
x2 = 7

Take the square root of each side:
x = {-2.645751311, 2.645751311}
Solution
x = {-2.645751311, 2.645751311}

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