(9x+6a)(8m-4y)=

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Solution for (9x+6a)(8m-4y)= equation:


Simplifying
(9x + 6a)(8m + -4y) = 0

Reorder the terms:
(6a + 9x)(8m + -4y) = 0

Multiply (6a + 9x) * (8m + -4y)
(6a * (8m + -4y) + 9x * (8m + -4y)) = 0
((8m * 6a + -4y * 6a) + 9x * (8m + -4y)) = 0
((48am + -24ay) + 9x * (8m + -4y)) = 0
(48am + -24ay + (8m * 9x + -4y * 9x)) = 0
(48am + -24ay + (72mx + -36xy)) = 0
(48am + -24ay + 72mx + -36xy) = 0

Solving
48am + -24ay + 72mx + -36xy = 0

Solving for variable 'a'.

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

Add '-72mx' to each side of the equation.
48am + -24ay + 72mx + -72mx + -36xy = 0 + -72mx

Combine like terms: 72mx + -72mx = 0
48am + -24ay + 0 + -36xy = 0 + -72mx
48am + -24ay + -36xy = 0 + -72mx
Remove the zero:
48am + -24ay + -36xy = -72mx

Add '36xy' to each side of the equation.
48am + -24ay + -36xy + 36xy = -72mx + 36xy

Combine like terms: -36xy + 36xy = 0
48am + -24ay + 0 = -72mx + 36xy
48am + -24ay = -72mx + 36xy

Reorder the terms:
48am + -24ay + 72mx + -36xy = -72mx + 72mx + 36xy + -36xy

Combine like terms: -72mx + 72mx = 0
48am + -24ay + 72mx + -36xy = 0 + 36xy + -36xy
48am + -24ay + 72mx + -36xy = 36xy + -36xy

Combine like terms: 36xy + -36xy = 0
48am + -24ay + 72mx + -36xy = 0

Factor out the Greatest Common Factor (GCF), '12'.
12(4am + -2ay + 6mx + -3xy) = 0

Ignore the factor 12.

Subproblem 1

Set the factor '(4am + -2ay + 6mx + -3xy)' equal to zero and attempt to solve: Simplifying 4am + -2ay + 6mx + -3xy = 0 Solving 4am + -2ay + 6mx + -3xy = 0 Move all terms containing a to the left, all other terms to the right. Add '-6mx' to each side of the equation. 4am + -2ay + 6mx + -6mx + -3xy = 0 + -6mx Combine like terms: 6mx + -6mx = 0 4am + -2ay + 0 + -3xy = 0 + -6mx 4am + -2ay + -3xy = 0 + -6mx Remove the zero: 4am + -2ay + -3xy = -6mx Add '3xy' to each side of the equation. 4am + -2ay + -3xy + 3xy = -6mx + 3xy Combine like terms: -3xy + 3xy = 0 4am + -2ay + 0 = -6mx + 3xy 4am + -2ay = -6mx + 3xy 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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