9x^7-100x^3=0

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Solution for 9x^7-100x^3=0 equation: 


Simplifying
9x7 + -100x3 = 0

Reorder the terms:
-100x3 + 9x7 = 0

Solving
-100x3 + 9x7 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x3'.
x3(-100 + 9x4) = 0

Factor a difference between two squares.
x3((10 + 3x2)(-10 + 3x2)) = 0


Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve:

Simplifying
x3 = 0

Solving
x3 = 0

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

Simplifying
x3 = 0

The solution to this equation could not be determined.

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

Subproblem 2
Set the factor '(10 + 3x2)' equal to zero and attempt to solve:

Simplifying
10 + 3x2 = 0

Solving
10 + 3x2 = 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 + 3x2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 3x2 = 0 + -10
3x2 = 0 + -10

Combine like terms: 0 + -10 = -10
3x2 = -10

Divide each side by '3'.
x2 = -3.333333333

Simplifying
x2 = -3.333333333

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 + 3x2)' equal to zero and attempt to solve:

Simplifying
-10 + 3x2 = 0

Solving
-10 + 3x2 = 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 + 3x2 = 0 + 10

Combine like terms: -10 + 10 = 0
0 + 3x2 = 0 + 10
3x2 = 0 + 10

Combine like terms: 0 + 10 = 10
3x2 = 10

Divide each side by '3'.
x2 = 3.333333333

Simplifying
x2 = 3.333333333

Take the square root of each side:
x = {-1.825741858, 1.825741858}
Solution
x = {-1.825741858, 1.825741858}

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