240x^2-2x^3=0

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Solution for 240x^2-2x^3=0 equation:


Simplifying
240x2 + -2x3 = 0

Solving
240x2 + -2x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x2'.
2x2(120 + -1x) = 0

Ignore the factor 2.

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 '(120 + -1x)' equal to zero and attempt to solve: Simplifying 120 + -1x = 0 Solving 120 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-120' to each side of the equation. 120 + -120 + -1x = 0 + -120 Combine like terms: 120 + -120 = 0 0 + -1x = 0 + -120 -1x = 0 + -120 Combine like terms: 0 + -120 = -120 -1x = -120 Divide each side by '-1'. x = 120 Simplifying x = 120

Solution

x = {0, 120}

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