(x^2-100)(x^2-10)=0

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Solution for (x^2-100)(x^2-10)=0 equation: 


Simplifying
(x2 + -100)(x2 + -10) = 0

Reorder the terms:
(-100 + x2)(x2 + -10) = 0

Reorder the terms:
(-100 + x2)(-10 + x2) = 0

Multiply (-100 + x2) * (-10 + x2)
(-100(-10 + x2) + x2(-10 + x2)) = 0
((-10 * -100 + x2 * -100) + x2(-10 + x2)) = 0
((1000 + -100x2) + x2(-10 + x2)) = 0
(1000 + -100x2 + (-10 * x2 + x2 * x2)) = 0
(1000 + -100x2 + (-10x2 + x4)) = 0

Combine like terms: -100x2 + -10x2 = -110x2
(1000 + -110x2 + x4) = 0

Solving
1000 + -110x2 + x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(10 + -1x2)(100 + -1x2) = 0

Factor a difference between two squares.
(10 + -1x2)((10 + x)(10 + -1x)) = 0


Subproblem 1
Set the factor '(10 + -1x2)' equal to zero and attempt to solve:

Simplifying
10 + -1x2 = 0

Solving
10 + -1x2 = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x2 = 0 + -10
-1x2 = 0 + -10

Combine like terms: 0 + -10 = -10
-1x2 = -10

Divide each side by '-1'.
x2 = 10

Simplifying
x2 = 10

Take the square root of each side:
x = {-3.16227766, 3.16227766}

Subproblem 2
Set the factor '(10 + x)' equal to zero and attempt to solve:

Simplifying
10 + x = 0

Solving
10 + x = 0

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

Add '-10' to each side of the equation.
10 + -10 + x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + x = 0 + -10
x = 0 + -10

Combine like terms: 0 + -10 = -10
x = -10

Simplifying
x = -10

Subproblem 3
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {-3.16227766, 3.16227766, -10, 10}

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