x^2=3x^4+5

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Solution for x^2=3x^4+5 equation: 


Simplifying
x2 = 3x4 + 5

Reorder the terms:
x2 = 5 + 3x4

Solving
x2 = 5 + 3x4

Solving for variable 'x'.

Reorder the terms:
-5 + x2 + -3x4 = 5 + 3x4 + -5 + -3x4

Reorder the terms:
-5 + x2 + -3x4 = 5 + -5 + 3x4 + -3x4

Combine like terms: 5 + -5 = 0
-5 + x2 + -3x4 = 0 + 3x4 + -3x4
-5 + x2 + -3x4 = 3x4 + -3x4

Combine like terms: 3x4 + -3x4 = 0
-5 + x2 + -3x4 = 0

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
1.666666667 + -0.3333333333x2 + x4 = 0

Move the constant term to the right:

Add '-1.666666667' to each side of the equation.
1.666666667 + -0.3333333333x2 + -1.666666667 + x4 = 0 + -1.666666667

Reorder the terms:
1.666666667 + -1.666666667 + -0.3333333333x2 + x4 = 0 + -1.666666667

Combine like terms: 1.666666667 + -1.666666667 = 0.000000000
0.000000000 + -0.3333333333x2 + x4 = 0 + -1.666666667
-0.3333333333x2 + x4 = 0 + -1.666666667

Combine like terms: 0 + -1.666666667 = -1.666666667
-0.3333333333x2 + x4 = -1.666666667

The x term is x2.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-0.3333333333x2 + 0.25 + x4 = -1.666666667 + 0.25

Reorder the terms:
0.25 + -0.3333333333x2 + x4 = -1.666666667 + 0.25

Combine like terms: -1.666666667 + 0.25 = -1.416666667
0.25 + -0.3333333333x2 + x4 = -1.416666667

Factor a perfect square on the left side:
(x2 + 0.5)(x2 + 0.5) = -1.416666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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