-7x^3(9x^4-4)=

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Solution for -7x^3(9x^4-4)= equation: 


Simplifying
-7x3(9x4 + -4) = 0

Reorder the terms:
-7x3(-4 + 9x4) = 0
(-4 * -7x3 + 9x4 * -7x3) = 0
(28x3 + -63x7) = 0

Solving
28x3 + -63x7 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7x3'.
7x3(4 + -9x4) = 0

Factor a difference between two squares.
7x3((2 + 3x2)(2 + -3x2)) = 0

Ignore the factor 7.

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 '(2 + 3x2)' equal to zero and attempt to solve:

Simplifying
2 + 3x2 = 0

Solving
2 + 3x2 = 0

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

Add '-2' to each side of the equation.
2 + -2 + 3x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3x2 = 0 + -2
3x2 = 0 + -2

Combine like terms: 0 + -2 = -2
3x2 = -2

Divide each side by '3'.
x2 = -0.6666666667

Simplifying
x2 = -0.6666666667

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 '(2 + -3x2)' equal to zero and attempt to solve:

Simplifying
2 + -3x2 = 0

Solving
2 + -3x2 = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3x2 = 0 + -2
-3x2 = 0 + -2

Combine like terms: 0 + -2 = -2
-3x2 = -2

Divide each side by '-3'.
x2 = 0.6666666667

Simplifying
x2 = 0.6666666667

Take the square root of each side:
x = {-0.816496581, 0.816496581}
Solution
x = {-0.816496581, 0.816496581}

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