9x^2=2x^3

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Solution for 9x^2=2x^3 equation: 


Simplifying
9x2 = 2x3

Solving
9x2 = 2x3

Solving for variable 'x'.

Combine like terms: 2x3 + -2x3 = 0
9x2 + -2x3 = 0

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(9 + -2x) = 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 '(9 + -2x)' equal to zero and attempt to solve:

Simplifying
9 + -2x = 0

Solving
9 + -2x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -2x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2x = 0 + -9
-2x = 0 + -9

Combine like terms: 0 + -9 = -9
-2x = -9

Divide each side by '-2'.
x = 4.5

Simplifying
x = 4.5
Solution
x = {0, 4.5}

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