x^100=100x^2

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Solution for x^100=100x^2 equation: 


Simplifying
x100 = 100x2

Solving
x100 = 100x2

Solving for variable 'x'.

Reorder the terms:
-100x2 + x100 = 100x2 + -100x2

Combine like terms: 100x2 + -100x2 = 0
-100x2 + x100 = 0

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-100 + x98) = 0

Factor a difference between two squares.
x2((10 + x49)(-10 + x49)) = 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 '(10 + x49)' equal to zero and attempt to solve:

Simplifying
10 + x49 = 0

Solving
10 + x49 = 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 + x49 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + x49 = 0 + -10
x49 = 0 + -10

Combine like terms: 0 + -10 = -10
x49 = -10

Simplifying
x49 = -10

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(-10 + x49)' equal to zero and attempt to solve:

Simplifying
-10 + x49 = 0

Solving
-10 + x49 = 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 + x49 = 0 + 10

Combine like terms: -10 + 10 = 0
0 + x49 = 0 + 10
x49 = 0 + 10

Combine like terms: 0 + 10 = 10
x49 = 10

Simplifying
x49 = 10

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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