98x^3-18x=0

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Solution for 98x^3-18x=0 equation:


Simplifying
98x3 + -18x = 0

Reorder the terms:
-18x + 98x3 = 0

Solving
-18x + 98x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-9 + 49x2) = 0

Factor a difference between two squares.
2x((3 + 7x)(-3 + 7x)) = 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 '(3 + 7x)' equal to zero and attempt to solve: Simplifying 3 + 7x = 0 Solving 3 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 7x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 7x = 0 + -3 7x = 0 + -3 Combine like terms: 0 + -3 = -3 7x = -3 Divide each side by '7'. x = -0.4285714286 Simplifying x = -0.4285714286

Subproblem 3

Set the factor '(-3 + 7x)' equal to zero and attempt to solve: Simplifying -3 + 7x = 0 Solving -3 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 7x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 7x = 0 + 3 7x = 0 + 3 Combine like terms: 0 + 3 = 3 7x = 3 Divide each side by '7'. x = 0.4285714286 Simplifying x = 0.4285714286

Solution

x = {0, -0.4285714286, 0.4285714286}

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