0=3x^4-4x^2-7

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Solution for 0=3x^4-4x^2-7 equation: 


Simplifying
0 = 3x4 + -4x2 + -7

Reorder the terms:
0 = -7 + -4x2 + 3x4

Solving
0 = -7 + -4x2 + 3x4

Solving for variable 'x'.

Combine like terms: 0 + 7 = 7
7 + 4x2 + -3x4 = -7 + -4x2 + 3x4 + 7 + 4x2 + -3x4

Reorder the terms:
7 + 4x2 + -3x4 = -7 + 7 + -4x2 + 4x2 + 3x4 + -3x4

Combine like terms: -7 + 7 = 0
7 + 4x2 + -3x4 = 0 + -4x2 + 4x2 + 3x4 + -3x4
7 + 4x2 + -3x4 = -4x2 + 4x2 + 3x4 + -3x4

Combine like terms: -4x2 + 4x2 = 0
7 + 4x2 + -3x4 = 0 + 3x4 + -3x4
7 + 4x2 + -3x4 = 3x4 + -3x4

Combine like terms: 3x4 + -3x4 = 0
7 + 4x2 + -3x4 = 0

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

Take the square root of each side:
x = {-1.527525232, 1.527525232}

Subproblem 2
Set the factor '(1 + x2)' equal to zero and attempt to solve:

Simplifying
1 + x2 = 0

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

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

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

Simplifying
x2 = -1

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {-1.527525232, 1.527525232}

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