3x^4-11x^2-144=0

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Solution for 3x^4-11x^2-144=0 equation:


Simplifying
3x4 + -11x2 + -144 = 0

Reorder the terms:
-144 + -11x2 + 3x4 = 0

Solving
-144 + -11x2 + 3x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(-16 + -3x2)(9 + -1x2) = 0

Factor a difference between two squares.
(-16 + -3x2)((3 + x)(3 + -1x)) = 0

Subproblem 1

Set the factor '(-16 + -3x2)' equal to zero and attempt to solve: Simplifying -16 + -3x2 = 0 Solving -16 + -3x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -3x2 = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -3x2 = 0 + 16 -3x2 = 0 + 16 Combine like terms: 0 + 16 = 16 -3x2 = 16 Divide each side by '-3'. x2 = -5.333333333 Simplifying x2 = -5.333333333 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 '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3

Subproblem 3

Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3

Solution

x = {-3, 3}

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