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

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


Simplifying
48x3 + -18x + -3x = 0

Reorder the terms:
-18x + -3x + 48x3 = 0

Combine like terms: -18x + -3x = -21x
-21x + 48x3 = 0

Solving
-21x + 48x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-7 + 16x2) = 0

Ignore the factor 3.

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 '(-7 + 16x2)' equal to zero and attempt to solve:

Simplifying
-7 + 16x2 = 0

Solving
-7 + 16x2 = 0

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

Add '7' to each side of the equation.
-7 + 7 + 16x2 = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 16x2 = 0 + 7
16x2 = 0 + 7

Combine like terms: 0 + 7 = 7
16x2 = 7

Divide each side by '16'.
x2 = 0.4375

Simplifying
x2 = 0.4375

Take the square root of each side:
x = {-0.661437828, 0.661437828}
Solution
x = {0, -0.661437828, 0.661437828}

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