6x^3-42x=0

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Solution for 6x^3-42x=0 equation:


Simplifying
6x3 + -42x = 0

Reorder the terms:
-42x + 6x3 = 0

Solving
-42x + 6x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x'.
6x(-7 + x2) = 0

Ignore the factor 6.

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 + x2)' equal to zero and attempt to solve: Simplifying -7 + x2 = 0 Solving -7 + x2 = 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 + x2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + x2 = 0 + 7 x2 = 0 + 7 Combine like terms: 0 + 7 = 7 x2 = 7 Simplifying x2 = 7 Take the square root of each side: x = {-2.645751311, 2.645751311}

Solution

x = {0, -2.645751311, 2.645751311}

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