3x^3-40x^2=0

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Solution for 3x^3-40x^2=0 equation:


Simplifying
3x3 + -40x2 = 0

Reorder the terms:
-40x2 + 3x3 = 0

Solving
-40x2 + 3x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-40 + 3x) = 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 '(-40 + 3x)' equal to zero and attempt to solve: Simplifying -40 + 3x = 0 Solving -40 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 3x = 0 + 40 Combine like terms: -40 + 40 = 0 0 + 3x = 0 + 40 3x = 0 + 40 Combine like terms: 0 + 40 = 40 3x = 40 Divide each side by '3'. x = 13.33333333 Simplifying x = 13.33333333

Solution

x = {0, 13.33333333}

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