8x^3-x^2=

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Solution for 8x^3-x^2= equation:


Simplifying
8x3 + -1x2 = 0

Reorder the terms:
-1x2 + 8x3 = 0

Solving
-1x2 + 8x3 = 0

Solving for variable 'x'.

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

Subproblem 1

Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}

Subproblem 2

Set the factor '(-1 + 8x)' equal to zero and attempt to solve: Simplifying -1 + 8x = 0 Solving -1 + 8x = 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 + 8x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 8x = 0 + 1 8x = 0 + 1 Combine like terms: 0 + 1 = 1 8x = 1 Divide each side by '8'. x = 0.125 Simplifying x = 0.125

Solution

x = {0, 0.125}

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