(3x^4)-(19x^2)-40=0

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Solution for (3x^4)-(19x^2)-40=0 equation: 


Simplifying
(3x4) + -1(19x2) + -40 = 0

Remove parenthesis around (19x2)
(3x4) + -1 * 19x2 + -40 = 0

Multiply -1 * 19
(3x4) + -19x2 + -40 = 0

Reorder the terms:
-40 + -19x2 + (3x4) = 0

Solving
-40 + -19x2 + (3x4) = 0

Solving for variable 'x'.

Factor a trinomial.
(-5 + -3x2)(8 + -1x2) = 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 '(8 + -1x2)' equal to zero and attempt to solve:

Simplifying
8 + -1x2 = 0

Solving
8 + -1x2 = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x2 = 0 + -8
-1x2 = 0 + -8

Combine like terms: 0 + -8 = -8
-1x2 = -8

Divide each side by '-1'.
x2 = 8

Simplifying
x2 = 8

Take the square root of each side:
x = {-2.828427125, 2.828427125}
Solution
x = {-2.828427125, 2.828427125}

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