(x^3-3x)+(2x^3+5x)=

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Solution for (x^3-3x)+(2x^3+5x)= equation:


Simplifying
(x3 + -3x) + (2x3 + 5x) = 0

Reorder the terms:
(-3x + x3) + (2x3 + 5x) = 0

Remove parenthesis around (-3x + x3)
-3x + x3 + (2x3 + 5x) = 0

Reorder the terms:
-3x + x3 + (5x + 2x3) = 0

Remove parenthesis around (5x + 2x3)
-3x + x3 + 5x + 2x3 = 0

Reorder the terms:
-3x + 5x + x3 + 2x3 = 0

Combine like terms: -3x + 5x = 2x
2x + x3 + 2x3 = 0

Combine like terms: x3 + 2x3 = 3x3
2x + 3x3 = 0

Solving
2x + 3x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(2 + 3x2) = 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 + 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.

Solution

x = {0}

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