x(36x-6x^2)=ax^2-6x^3

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Solution for x(36x-6x^2)=ax^2-6x^3 equation: 


Simplifying
x(36x + -6x2) = ax2 + -6x3
(36x * x + -6x2 * x) = ax2 + -6x3
(36x2 + -6x3) = ax2 + -6x3

Add '6x3' to each side of the equation.
36x2 + -6x3 + 6x3 = ax2 + -6x3 + 6x3

Combine like terms: -6x3 + 6x3 = 0
36x2 + 0 = ax2 + -6x3 + 6x3
36x2 = ax2 + -6x3 + 6x3

Combine like terms: -6x3 + 6x3 = 0
36x2 = ax2 + 0
36x2 = ax2

Solving
36x2 = ax2

Solving for variable 'x'.

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

Add '-1ax2' to each side of the equation.
-1ax2 + 36x2 = ax2 + -1ax2

Combine like terms: ax2 + -1ax2 = 0
-1ax2 + 36x2 = 0

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-1a + 36) = 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 '(-1a + 36)' equal to zero and attempt to solve:

Simplifying
-1a + 36 = 0

Reorder the terms:
36 + -1a = 0

Solving
36 + -1a = 0

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

Add '-36' to each side of the equation.
36 + -36 + -1a = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -1a = 0 + -36
-1a = 0 + -36

Combine like terms: 0 + -36 = -36
-1a = -36

Add 'a' to each side of the equation.
-1a + a = -36 + a

Combine like terms: -1a + a = 0
0 = -36 + a

Simplifying
0 = -36 + a

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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