-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), 'x'.
x(-5 + 2x2) = 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 '(-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

Take the square root of each side:
x = {-1.58113883, 1.58113883}
Solution
x = {0, -1.58113883, 1.58113883}

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