9y(3x+2y)+3x(6-18y)=

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Solution for 9y(3x+2y)+3x(6-18y)= equation:


Simplifying
9y(3x + 2y) + 3x(6 + -18y) = 0
(3x * 9y + 2y * 9y) + 3x(6 + -18y) = 0
(27xy + 18y2) + 3x(6 + -18y) = 0
27xy + 18y2 + (6 * 3x + -18y * 3x) = 0
27xy + 18y2 + (18x + -54xy) = 0

Reorder the terms:
18x + 27xy + -54xy + 18y2 = 0

Combine like terms: 27xy + -54xy = -27xy
18x + -27xy + 18y2 = 0

Solving
18x + -27xy + 18y2 = 0

Solving for variable 'x'.

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

Add '-18y2' to each side of the equation.
18x + -27xy + 18y2 + -18y2 = 0 + -18y2

Combine like terms: 18y2 + -18y2 = 0
18x + -27xy + 0 = 0 + -18y2
18x + -27xy = 0 + -18y2
Remove the zero:
18x + -27xy = -18y2

Combine like terms: -18y2 + 18y2 = 0
18x + -27xy + 18y2 = 0

Factor out the Greatest Common Factor (GCF), '9'.
9(2x + -3xy + 2y2) = 0

Ignore the factor 9.

Subproblem 1

Set the factor '(2x + -3xy + 2y2)' equal to zero and attempt to solve: Simplifying 2x + -3xy + 2y2 = 0 Solving 2x + -3xy + 2y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y2' to each side of the equation. 2x + -3xy + 2y2 + -2y2 = 0 + -2y2 Combine like terms: 2y2 + -2y2 = 0 2x + -3xy + 0 = 0 + -2y2 2x + -3xy = 0 + -2y2 Remove the zero: 2x + -3xy = -2y2 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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