x^3-49x^2=0

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Solution for x^3-49x^2=0 equation:


Simplifying
x3 + -49x2 = 0

Reorder the terms:
-49x2 + x3 = 0

Solving
-49x2 + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-49 + x) = 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 '(-49 + x)' equal to zero and attempt to solve: Simplifying -49 + x = 0 Solving -49 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + x = 0 + 49 Combine like terms: -49 + 49 = 0 0 + x = 0 + 49 x = 0 + 49 Combine like terms: 0 + 49 = 49 x = 49 Simplifying x = 49

Solution

x = {0, 49}

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