F(x)=x(x+3)(x^2-7)

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


Simplifying
F(x) = x(x + 3)(x2 + -7)

Multiply F * x
xF = x(x + 3)(x2 + -7)

Reorder the terms:
xF = x(3 + x)(x2 + -7)

Reorder the terms:
xF = x(3 + x)(-7 + x2)

Multiply (3 + x) * (-7 + x2)
xF = x(3(-7 + x2) + x(-7 + x2))
xF = x((-7 * 3 + x2 * 3) + x(-7 + x2))
xF = x((-21 + 3x2) + x(-7 + x2))
xF = x(-21 + 3x2 + (-7 * x + x2 * x))
xF = x(-21 + 3x2 + (-7x + x3))

Reorder the terms:
xF = x(-21 + -7x + 3x2 + x3)
xF = x(-21 + -7x + 3x2 + x3)
xF = (-21 * x + -7x * x + 3x2 * x + x3 * x)
xF = (-21x + -7x2 + 3x3 + x4)

Solving
xF = -21x + -7x2 + 3x3 + x4

Solving for variable 'x'.

Reorder the terms:
21x + xF + 7x2 + -3x3 + -1x4 = -21x + -7x2 + 3x3 + x4 + 21x + 7x2 + -3x3 + -1x4

Reorder the terms:
21x + xF + 7x2 + -3x3 + -1x4 = -21x + 21x + -7x2 + 7x2 + 3x3 + -3x3 + x4 + -1x4

Combine like terms: -21x + 21x = 0
21x + xF + 7x2 + -3x3 + -1x4 = 0 + -7x2 + 7x2 + 3x3 + -3x3 + x4 + -1x4
21x + xF + 7x2 + -3x3 + -1x4 = -7x2 + 7x2 + 3x3 + -3x3 + x4 + -1x4

Combine like terms: -7x2 + 7x2 = 0
21x + xF + 7x2 + -3x3 + -1x4 = 0 + 3x3 + -3x3 + x4 + -1x4
21x + xF + 7x2 + -3x3 + -1x4 = 3x3 + -3x3 + x4 + -1x4

Combine like terms: 3x3 + -3x3 = 0
21x + xF + 7x2 + -3x3 + -1x4 = 0 + x4 + -1x4
21x + xF + 7x2 + -3x3 + -1x4 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
21x + xF + 7x2 + -3x3 + -1x4 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(21 + F + 7x + -3x2 + -1x3) = 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 '(21 + F + 7x + -3x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
21 + F + 7x + -3x2 + -1x3 = 0

Solving
21 + F + 7x + -3x2 + -1x3 = 0

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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