x-8x^3=0

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Solution for x-8x^3=0 equation:


Simplifying
x + -8x3 = 0

Solving
x + -8x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(1 + -8x2) = 0

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 + -8x2)' equal to zero and attempt to solve: Simplifying 1 + -8x2 = 0 Solving 1 + -8x2 = 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 + -8x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -8x2 = 0 + -1 -8x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -8x2 = -1 Divide each side by '-8'. x2 = 0.125 Simplifying x2 = 0.125 Take the square root of each side: x = {-0.353553391, 0.353553391}

Solution

x = {0, -0.353553391, 0.353553391}

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