5x^3-40x^2*y=0

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Solution for 5x^3-40x^2*y=0 equation:


Simplifying
5x3 + -40x2 * y = 0

Multiply x2 * y
5x3 + -40x2y = 0

Reorder the terms:
-40x2y + 5x3 = 0

Solving
-40x2y + 5x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x2'.
5x2(-8y + x) = 0

Ignore the factor 5.

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 '(-8y + x)' equal to zero and attempt to solve: Simplifying -8y + x = 0 Reorder the terms: x + -8y = 0 Solving x + -8y = 0 Move all terms containing x to the left, all other terms to the right. Add '8y' to each side of the equation. x + -8y + 8y = 0 + 8y Combine like terms: -8y + 8y = 0 x + 0 = 0 + 8y x = 0 + 8y Remove the zero: x = 8y Simplifying x = 8y

Solution

x = {0, 8y}

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