0=x^4-6x^2-135

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Solution for 0=x^4-6x^2-135 equation: 


Simplifying
0 = x4 + -6x2 + -135

Reorder the terms:
0 = -135 + -6x2 + x4

Solving
0 = -135 + -6x2 + x4

Solving for variable 'x'.

Combine like terms: 0 + 135 = 135
135 + 6x2 + -1x4 = -135 + -6x2 + x4 + 135 + 6x2 + -1x4

Reorder the terms:
135 + 6x2 + -1x4 = -135 + 135 + -6x2 + 6x2 + x4 + -1x4

Combine like terms: -135 + 135 = 0
135 + 6x2 + -1x4 = 0 + -6x2 + 6x2 + x4 + -1x4
135 + 6x2 + -1x4 = -6x2 + 6x2 + x4 + -1x4

Combine like terms: -6x2 + 6x2 = 0
135 + 6x2 + -1x4 = 0 + x4 + -1x4
135 + 6x2 + -1x4 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
135 + 6x2 + -1x4 = 0

Factor a trinomial.
(15 + -1x2)(9 + x2) = 0


Subproblem 1
Set the factor '(15 + -1x2)' equal to zero and attempt to solve:

Simplifying
15 + -1x2 = 0

Solving
15 + -1x2 = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1x2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1x2 = 0 + -15
-1x2 = 0 + -15

Combine like terms: 0 + -15 = -15
-1x2 = -15

Divide each side by '-1'.
x2 = 15

Simplifying
x2 = 15

Take the square root of each side:
x = {-3.872983346, 3.872983346}

Subproblem 2
Set the factor '(9 + x2)' equal to zero and attempt to solve:

Simplifying
9 + x2 = 0

Solving
9 + x2 = 0

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

Add '-9' to each side of the equation.
9 + -9 + x2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + x2 = 0 + -9
x2 = 0 + -9

Combine like terms: 0 + -9 = -9
x2 = -9

Simplifying
x2 = -9

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {-3.872983346, 3.872983346}

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