35X^2Y^3-70X^3=0

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Solution for 35X^2Y^3-70X^3=0 equation: 


Simplifying
35X2Y3 + -70X3 = 0

Solving
35X2Y3 + -70X3 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '35X2'.
35X2(Y3 + -2X) = 0

Ignore the factor 35.

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 '(Y3 + -2X)' equal to zero and attempt to solve:

Simplifying
Y3 + -2X = 0

Reorder the terms:
-2X + Y3 = 0

Solving
-2X + Y3 = 0

Move all terms containing X to the left, all other terms to the right.

Add '-1Y3' to each side of the equation.
-2X + Y3 + -1Y3 = 0 + -1Y3

Combine like terms: Y3 + -1Y3 = 0
-2X + 0 = 0 + -1Y3
-2X = 0 + -1Y3
Remove the zero:
-2X = -1Y3

Divide each side by '-2'.
X = 0.5Y3

Simplifying
X = 0.5Y3
Solution
X = {0, 0.5Y3}

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