128x^3-32x^2=0

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Solution for 128x^3-32x^2=0 equation:


Simplifying
128x3 + -32x2 = 0

Reorder the terms:
-32x2 + 128x3 = 0

Solving
-32x2 + 128x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '32x2'.
32x2(-1 + 4x) = 0

Ignore the factor 32.

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 + 4x)' equal to zero and attempt to solve: Simplifying -1 + 4x = 0 Solving -1 + 4x = 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 + 4x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 4x = 0 + 1 4x = 0 + 1 Combine like terms: 0 + 1 = 1 4x = 1 Divide each side by '4'. x = 0.25 Simplifying x = 0.25

Solution

x = {0, 0.25}

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