0=121x^2-x^4

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Solution for 0=121x^2-x^4 equation: 


Simplifying
0 = 121x2 + -1x4

Solving
0 = 121x2 + -1x4

Solving for variable 'x'.
Remove the zero:
-121x2 + x4 = 121x2 + -1x4 + -121x2 + x4

Reorder the terms:
-121x2 + x4 = 121x2 + -121x2 + -1x4 + x4

Combine like terms: 121x2 + -121x2 = 0
-121x2 + x4 = 0 + -1x4 + x4
-121x2 + x4 = -1x4 + x4

Combine like terms: -1x4 + x4 = 0
-121x2 + x4 = 0

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-121 + x2) = 0

Factor a difference between two squares.
x2((11 + x)(-11 + x)) = 0


Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(11 + x)' equal to zero and attempt to solve:

Simplifying
11 + x = 0

Solving
11 + x = 0

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

Add '-11' to each side of the equation.
11 + -11 + x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + x = 0 + -11
x = 0 + -11

Combine like terms: 0 + -11 = -11
x = -11

Simplifying
x = -11

Subproblem 3
Set the factor '(-11 + x)' equal to zero and attempt to solve:

Simplifying
-11 + x = 0

Solving
-11 + x = 0

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

Add '11' to each side of the equation.
-11 + 11 + x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + x = 0 + 11
x = 0 + 11

Combine like terms: 0 + 11 = 11
x = 11

Simplifying
x = 11
Solution
x = {0, -11, 11}

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