4x^3+18x-48x=0

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Solution for 4x^3+18x-48x=0 equation: 


Simplifying
4x3 + 18x + -48x = 0

Reorder the terms:
18x + -48x + 4x3 = 0

Combine like terms: 18x + -48x = -30x
-30x + 4x3 = 0

Solving
-30x + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-15 + 2x2) = 0

Ignore the factor 2.

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 '(-15 + 2x2)' equal to zero and attempt to solve:

Simplifying
-15 + 2x2 = 0

Solving
-15 + 2x2 = 0

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

Add '15' to each side of the equation.
-15 + 15 + 2x2 = 0 + 15

Combine like terms: -15 + 15 = 0
0 + 2x2 = 0 + 15
2x2 = 0 + 15

Combine like terms: 0 + 15 = 15
2x2 = 15

Divide each side by '2'.
x2 = 7.5

Simplifying
x2 = 7.5

Take the square root of each side:
x = {-2.738612788, 2.738612788}
Solution
x = {0, -2.738612788, 2.738612788}

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