(7x^3+4x)(x^2+2)=

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Solution for (7x^3+4x)(x^2+2)= equation: 


Simplifying
(7x3 + 4x)(x2 + 2) = 0

Reorder the terms:
(4x + 7x3)(x2 + 2) = 0

Reorder the terms:
(4x + 7x3)(2 + x2) = 0

Multiply (4x + 7x3) * (2 + x2)
(4x * (2 + x2) + 7x3 * (2 + x2)) = 0
((2 * 4x + x2 * 4x) + 7x3 * (2 + x2)) = 0
((8x + 4x3) + 7x3 * (2 + x2)) = 0
(8x + 4x3 + (2 * 7x3 + x2 * 7x3)) = 0
(8x + 4x3 + (14x3 + 7x5)) = 0

Combine like terms: 4x3 + 14x3 = 18x3
(8x + 18x3 + 7x5) = 0

Solving
8x + 18x3 + 7x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(8 + 18x2 + 7x4) = 0

Factor a trinomial.
x((2 + x2)(4 + 7x2)) = 0


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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

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

Simplifying
2 + x2 = 0

Solving
2 + x2 = 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 + x2 = 0 + -2

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

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

Simplifying
x2 = -2

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 '(4 + 7x2)' equal to zero and attempt to solve:

Simplifying
4 + 7x2 = 0

Solving
4 + 7x2 = 0

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

Add '-4' to each side of the equation.
4 + -4 + 7x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 7x2 = 0 + -4
7x2 = 0 + -4

Combine like terms: 0 + -4 = -4
7x2 = -4

Divide each side by '7'.
x2 = -0.5714285714

Simplifying
x2 = -0.5714285714

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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