x^4-4-16x^2=x^4-20x^2+4

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Solution for x^4-4-16x^2=x^4-20x^2+4 equation: 


Simplifying
x4 + -4 + -16x2 = x4 + -20x2 + 4

Reorder the terms:
-4 + -16x2 + x4 = x4 + -20x2 + 4

Reorder the terms:
-4 + -16x2 + x4 = 4 + -20x2 + x4

Add '-1x4' to each side of the equation.
-4 + -16x2 + x4 + -1x4 = 4 + -20x2 + x4 + -1x4

Combine like terms: x4 + -1x4 = 0
-4 + -16x2 + 0 = 4 + -20x2 + x4 + -1x4
-4 + -16x2 = 4 + -20x2 + x4 + -1x4

Combine like terms: x4 + -1x4 = 0
-4 + -16x2 = 4 + -20x2 + 0
-4 + -16x2 = 4 + -20x2

Solving
-4 + -16x2 = 4 + -20x2

Solving for variable 'x'.

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

Add '20x2' to each side of the equation.
-4 + -16x2 + 20x2 = 4 + -20x2 + 20x2

Combine like terms: -16x2 + 20x2 = 4x2
-4 + 4x2 = 4 + -20x2 + 20x2

Combine like terms: -20x2 + 20x2 = 0
-4 + 4x2 = 4 + 0
-4 + 4x2 = 4

Add '4' to each side of the equation.
-4 + 4 + 4x2 = 4 + 4

Combine like terms: -4 + 4 = 0
0 + 4x2 = 4 + 4
4x2 = 4 + 4

Combine like terms: 4 + 4 = 8
4x2 = 8

Divide each side by '4'.
x2 = 2

Simplifying
x2 = 2

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

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