9x^7-49x^3=0

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Solution for 9x^7-49x^3=0 equation: 


Simplifying
9x7 + -49x3 = 0

Reorder the terms:
-49x3 + 9x7 = 0

Solving
-49x3 + 9x7 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x3'.
x3(-49 + 9x4) = 0

Factor a difference between two squares.
x3((7 + 3x2)(-7 + 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 '(7 + 3x2)' equal to zero and attempt to solve:

Simplifying
7 + 3x2 = 0

Solving
7 + 3x2 = 0

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

Add '-7' to each side of the equation.
7 + -7 + 3x2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 3x2 = 0 + -7
3x2 = 0 + -7

Combine like terms: 0 + -7 = -7
3x2 = -7

Divide each side by '3'.
x2 = -2.333333333

Simplifying
x2 = -2.333333333

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 '(-7 + 3x2)' equal to zero and attempt to solve:

Simplifying
-7 + 3x2 = 0

Solving
-7 + 3x2 = 0

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

Add '7' to each side of the equation.
-7 + 7 + 3x2 = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 3x2 = 0 + 7
3x2 = 0 + 7

Combine like terms: 0 + 7 = 7
3x2 = 7

Divide each side by '3'.
x2 = 2.333333333

Simplifying
x2 = 2.333333333

Take the square root of each side:
x = {-1.527525232, 1.527525232}
Solution
x = {-1.527525232, 1.527525232}

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