5x^4=8x^2+4

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Solution for 5x^4=8x^2+4 equation: 


Simplifying
5x4 = 8x2 + 4

Reorder the terms:
5x4 = 4 + 8x2

Solving
5x4 = 4 + 8x2

Solving for variable 'x'.

Reorder the terms:
-4 + -8x2 + 5x4 = 4 + 8x2 + -4 + -8x2

Reorder the terms:
-4 + -8x2 + 5x4 = 4 + -4 + 8x2 + -8x2

Combine like terms: 4 + -4 = 0
-4 + -8x2 + 5x4 = 0 + 8x2 + -8x2
-4 + -8x2 + 5x4 = 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
-4 + -8x2 + 5x4 = 0

Factor a trinomial.
(-2 + -5x2)(2 + -1x2) = 0


Subproblem 1
Set the factor '(-2 + -5x2)' equal to zero and attempt to solve:

Simplifying
-2 + -5x2 = 0

Solving
-2 + -5x2 = 0

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

Add '2' to each side of the equation.
-2 + 2 + -5x2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -5x2 = 0 + 2
-5x2 = 0 + 2

Combine like terms: 0 + 2 = 2
-5x2 = 2

Divide each side by '-5'.
x2 = -0.4

Simplifying
x2 = -0.4

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 '(2 + -1x2)' equal to zero and attempt to solve:

Simplifying
2 + -1x2 = 0

Solving
2 + -1x2 = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x2 = 0 + -2
-1x2 = 0 + -2

Combine like terms: 0 + -2 = -2
-1x2 = -2

Divide each side by '-1'.
x2 = 2

Simplifying
x2 = 2

Take the square root of each side:
x = {-1.414213562, 1.414213562}
Solution
x = {-1.414213562, 1.414213562}

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