4x^4-12x^2=160

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Solution for 4x^4-12x^2=160 equation: 


Simplifying
4x4 + -12x2 = 160

Reorder the terms:
-12x2 + 4x4 = 160

Solving
-12x2 + 4x4 = 160

Solving for variable 'x'.

Reorder the terms:
-160 + -12x2 + 4x4 = 160 + -160

Combine like terms: 160 + -160 = 0
-160 + -12x2 + 4x4 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-40 + -3x2 + x4) = 0

Factor a trinomial.
4((-5 + -1x2)(8 + -1x2)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-5 + -1x2)' equal to zero and attempt to solve:

Simplifying
-5 + -1x2 = 0

Solving
-5 + -1x2 = 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 + -1x2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1x2 = 0 + 5
-1x2 = 0 + 5

Combine like terms: 0 + 5 = 5
-1x2 = 5

Divide each side by '-1'.
x2 = -5

Simplifying
x2 = -5

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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