50x^3=2x

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Solution for 50x^3=2x equation:


Simplifying
50x3 = 2x

Solving
50x3 = 2x

Solving for variable 'x'.

Reorder the terms:
-2x + 50x3 = 2x + -2x

Combine like terms: 2x + -2x = 0
-2x + 50x3 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-1 + 25x2) = 0

Factor a difference between two squares.
2x((1 + 5x)(-1 + 5x)) = 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 '(1 + 5x)' equal to zero and attempt to solve: Simplifying 1 + 5x = 0 Solving 1 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 0 + -1 5x = 0 + -1 Combine like terms: 0 + -1 = -1 5x = -1 Divide each side by '5'. x = -0.2 Simplifying x = -0.2

Subproblem 3

Set the factor '(-1 + 5x)' equal to zero and attempt to solve: Simplifying -1 + 5x = 0 Solving -1 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 5x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 5x = 0 + 1 5x = 0 + 1 Combine like terms: 0 + 1 = 1 5x = 1 Divide each side by '5'. x = 0.2 Simplifying x = 0.2

Solution

x = {0, -0.2, 0.2}

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