(x^2-129)(x^2-121)=0

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Solution for (x^2-129)(x^2-121)=0 equation: 


Simplifying
(x2 + -129)(x2 + -121) = 0

Reorder the terms:
(-129 + x2)(x2 + -121) = 0

Reorder the terms:
(-129 + x2)(-121 + x2) = 0

Multiply (-129 + x2) * (-121 + x2)
(-129(-121 + x2) + x2(-121 + x2)) = 0
((-121 * -129 + x2 * -129) + x2(-121 + x2)) = 0
((15609 + -129x2) + x2(-121 + x2)) = 0
(15609 + -129x2 + (-121 * x2 + x2 * x2)) = 0
(15609 + -129x2 + (-121x2 + x4)) = 0

Combine like terms: -129x2 + -121x2 = -250x2
(15609 + -250x2 + x4) = 0

Solving
15609 + -250x2 + x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(121 + -1x2)(129 + -1x2) = 0

Factor a difference between two squares.
((11 + x)(11 + -1x))(129 + -1x2) = 0


Subproblem 1
Set the factor '(129 + -1x2)' equal to zero and attempt to solve:

Simplifying
129 + -1x2 = 0

Solving
129 + -1x2 = 0

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

Add '-129' to each side of the equation.
129 + -129 + -1x2 = 0 + -129

Combine like terms: 129 + -129 = 0
0 + -1x2 = 0 + -129
-1x2 = 0 + -129

Combine like terms: 0 + -129 = -129
-1x2 = -129

Divide each side by '-1'.
x2 = 129

Simplifying
x2 = 129

Take the square root of each side:
x = {-11.357816692, 11.357816692}

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 + -1x)' equal to zero and attempt to solve:

Simplifying
11 + -1x = 0

Solving
11 + -1x = 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 + -1x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 0 + -11
-1x = 0 + -11

Combine like terms: 0 + -11 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11
Solution
x = {-11.357816692, 11.357816692, -11, 11}

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