36x^2y^4=(-6xy^3)(x)

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Solution for 36x^2y^4=(-6xy^3)(x) equation:


Simplifying
36x2y4 = (-6xy3)(x)

Remove parenthesis around (-6xy3)
36x2y4 = -6xy3(x)

Multiply xy3 * x
36x2y4 = -6x2y3

Solving
36x2y4 = -6x2y3

Solving for variable 'x'.

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

Add '6x2y3' to each side of the equation.
6x2y3 + 36x2y4 = -6x2y3 + 6x2y3

Combine like terms: -6x2y3 + 6x2y3 = 0
6x2y3 + 36x2y4 = 0

Factor out the Greatest Common Factor (GCF), '6x2y3'.
6x2y3(1 + 6y) = 0

Ignore the factor 6.

Subproblem 1

Set the factor 'x2y3' equal to zero and attempt to solve: Simplifying x2y3 = 0 Solving x2y3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(1 + 6y)' equal to zero and attempt to solve: Simplifying 1 + 6y = 0 Solving 1 + 6y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 6y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6y = 0 + -1 6y = 0 + -1 Combine like terms: 0 + -1 = -1 6y = -1 Add '-6y' to each side of the equation. 6y + -6y = -1 + -6y Combine like terms: 6y + -6y = 0 0 = -1 + -6y Simplifying 0 = -1 + -6y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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