4x^3-48x=0

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


Simplifying
4x3 + -48x = 0

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

Solving
-48x + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-12 + x2) = 0

Ignore the factor 4.

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 '(-12 + x2)' equal to zero and attempt to solve: Simplifying -12 + x2 = 0 Solving -12 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + x2 = 0 + 12 Combine like terms: -12 + 12 = 0 0 + x2 = 0 + 12 x2 = 0 + 12 Combine like terms: 0 + 12 = 12 x2 = 12 Simplifying x2 = 12 Take the square root of each side: x = {-3.464101615, 3.464101615}

Solution

x = {0, -3.464101615, 3.464101615}

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