x^3(7x+3)(7x-3)=0

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Solution for x^3(7x+3)(7x-3)=0 equation: 


Simplifying
x3(7x + 3)(7x + -3) = 0

Reorder the terms:
x3(3 + 7x)(7x + -3) = 0

Reorder the terms:
x3(3 + 7x)(-3 + 7x) = 0

Multiply (3 + 7x) * (-3 + 7x)
x3(3(-3 + 7x) + 7x * (-3 + 7x)) = 0
x3((-3 * 3 + 7x * 3) + 7x * (-3 + 7x)) = 0
x3((-9 + 21x) + 7x * (-3 + 7x)) = 0
x3(-9 + 21x + (-3 * 7x + 7x * 7x)) = 0
x3(-9 + 21x + (-21x + 49x2)) = 0

Combine like terms: 21x + -21x = 0
x3(-9 + 0 + 49x2) = 0
x3(-9 + 49x2) = 0
(-9 * x3 + 49x2 * x3) = 0
(-9x3 + 49x5) = 0

Solving
-9x3 + 49x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x3'.
x3(-9 + 49x2) = 0

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

Simplifying
3 + 7x = 0

Solving
3 + 7x = 0

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

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

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

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

Divide each side by '7'.
x = -0.4285714286

Simplifying
x = -0.4285714286

Subproblem 3
Set the factor '(-3 + 7x)' equal to zero and attempt to solve:

Simplifying
-3 + 7x = 0

Solving
-3 + 7x = 0

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

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

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

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

Divide each side by '7'.
x = 0.4285714286

Simplifying
x = 0.4285714286
Solution
x = {-0.4285714286, 0.4285714286}

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