-3=2X^3+5X-3

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Solution for -3=2X^3+5X-3 equation: 


Simplifying
-3 = 2X3 + 5X + -3

Reorder the terms:
-3 = -3 + 5X + 2X3

Add '3' to each side of the equation.
-3 + 3 = -3 + 5X + 3 + 2X3

Combine like terms: -3 + 3 = 0
0 = -3 + 5X + 3 + 2X3

Reorder the terms:
0 = -3 + 3 + 5X + 2X3

Combine like terms: -3 + 3 = 0
0 = 0 + 5X + 2X3
0 = 5X + 2X3

Solving
0 = 5X + 2X3

Solving for variable 'X'.
Remove the zero:
-5X + -2X3 = 5X + 2X3 + -5X + -2X3

Reorder the terms:
-5X + -2X3 = 5X + -5X + 2X3 + -2X3

Combine like terms: 5X + -5X = 0
-5X + -2X3 = 0 + 2X3 + -2X3
-5X + -2X3 = 2X3 + -2X3

Combine like terms: 2X3 + -2X3 = 0
-5X + -2X3 = 0

Factor out the Greatest Common Factor (GCF), '-1X'.
-1X(5 + 2X2) = 0

Ignore the factor -1.

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 '(5 + 2X2)' equal to zero and attempt to solve:

Simplifying
5 + 2X2 = 0

Solving
5 + 2X2 = 0

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

Add '-5' to each side of the equation.
5 + -5 + 2X2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2X2 = 0 + -5
2X2 = 0 + -5

Combine like terms: 0 + -5 = -5
2X2 = -5

Divide each side by '2'.
X2 = -2.5

Simplifying
X2 = -2.5

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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