2x^4+3x^2-135=0

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Solution for 2x^4+3x^2-135=0 equation: 


Simplifying
2x4 + 3x2 + -135 = 0

Reorder the terms:
-135 + 3x2 + 2x4 = 0

Solving
-135 + 3x2 + 2x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(-9 + -1x2)(15 + -2x2) = 0


Subproblem 1
Set the factor '(-9 + -1x2)' equal to zero and attempt to solve:

Simplifying
-9 + -1x2 = 0

Solving
-9 + -1x2 = 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 + -1x2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1x2 = 0 + 9
-1x2 = 0 + 9

Combine like terms: 0 + 9 = 9
-1x2 = 9

Divide each side by '-1'.
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.

Subproblem 2
Set the factor '(15 + -2x2)' equal to zero and attempt to solve:

Simplifying
15 + -2x2 = 0

Solving
15 + -2x2 = 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 + -2x2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -2x2 = 0 + -15
-2x2 = 0 + -15

Combine like terms: 0 + -15 = -15
-2x2 = -15

Divide each side by '-2'.
x2 = 7.5

Simplifying
x2 = 7.5

Take the square root of each side:
x = {-2.738612788, 2.738612788}
Solution
x = {-2.738612788, 2.738612788}

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