20x^3y^2=30x^2z

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Solution for 20x^3y^2=30x^2z equation: 


Simplifying
20x3y2 = 30x2z

Solving
20x3y2 = 30x2z

Solving for variable 'x'.

Reorder the terms:
-30x2z + 20x3y2 = 30x2z + -30x2z

Combine like terms: 30x2z + -30x2z = 0
-30x2z + 20x3y2 = 0

Factor out the Greatest Common Factor (GCF), '10x2'.
10x2(-3z + 2xy2) = 0

Ignore the factor 10.

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 '(-3z + 2xy2)' equal to zero and attempt to solve:

Simplifying
-3z + 2xy2 = 0

Reorder the terms:
2xy2 + -3z = 0

Solving
2xy2 + -3z = 0

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

Add '3z' to each side of the equation.
2xy2 + -3z + 3z = 0 + 3z

Combine like terms: -3z + 3z = 0
2xy2 + 0 = 0 + 3z
2xy2 = 0 + 3z
Remove the zero:
2xy2 = 3z

Divide each side by '2y2'.
x = 1.5y-2z

Simplifying
x = 1.5y-2z
Solution
x = {0, 1.5y-2z}

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