F(x)=(x^3)+3sin(x)-2Sin(x)

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


Simplifying
F(x) = (x3) + 3sin(x) + -2Sin(x)

Multiply F * x
xF = (x3) + 3sin(x) + -2Sin(x)
xF = x3 + 3sin(x) + -2Sin(x)

Multiply ins * x
xF = x3 + 3insx + -2Sin(x)

Multiply inS * x
xF = x3 + 3insx + -2inxS

Reorder the terms:
xF = 3insx + -2inxS + x3

Solving
xF = 3insx + -2inxS + x3

Solving for variable 'x'.

Reorder the terms:
-3insx + 2inxS + xF + -1x3 = 3insx + -2inxS + x3 + -3insx + 2inxS + -1x3

Reorder the terms:
-3insx + 2inxS + xF + -1x3 = 3insx + -3insx + -2inxS + 2inxS + x3 + -1x3

Combine like terms: 3insx + -3insx = 0
-3insx + 2inxS + xF + -1x3 = 0 + -2inxS + 2inxS + x3 + -1x3
-3insx + 2inxS + xF + -1x3 = -2inxS + 2inxS + x3 + -1x3

Combine like terms: -2inxS + 2inxS = 0
-3insx + 2inxS + xF + -1x3 = 0 + x3 + -1x3
-3insx + 2inxS + xF + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-3insx + 2inxS + xF + -1x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-3ins + 2inS + F + -1x2) = 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 '(-3ins + 2inS + F + -1x2)' equal to zero and attempt to solve:

Simplifying
-3ins + 2inS + F + -1x2 = 0

Reorder the terms:
F + 2inS + -3ins + -1x2 = 0

Solving
F + 2inS + -3ins + -1x2 = 0

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

Add '-1F' to each side of the equation.
F + 2inS + -3ins + -1F + -1x2 = 0 + -1F

Reorder the terms:
F + -1F + 2inS + -3ins + -1x2 = 0 + -1F

Combine like terms: F + -1F = 0
0 + 2inS + -3ins + -1x2 = 0 + -1F
2inS + -3ins + -1x2 = 0 + -1F
Remove the zero:
2inS + -3ins + -1x2 = -1F

Add '-2inS' to each side of the equation.
2inS + -3ins + -2inS + -1x2 = -1F + -2inS

Reorder the terms:
2inS + -2inS + -3ins + -1x2 = -1F + -2inS

Combine like terms: 2inS + -2inS = 0
0 + -3ins + -1x2 = -1F + -2inS
-3ins + -1x2 = -1F + -2inS

Add '3ins' to each side of the equation.
-3ins + 3ins + -1x2 = -1F + -2inS + 3ins

Combine like terms: -3ins + 3ins = 0
0 + -1x2 = -1F + -2inS + 3ins
-1x2 = -1F + -2inS + 3ins

Divide each side by '-1'.
x2 = F + 2inS + -3ins

Simplifying
x2 = F + 2inS + -3ins

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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