=3(-4x+7y)-3x(2+3y)

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Solution for =3(-4x+7y)-3x(2+3y) equation:


Simplifying
0 = 3(-4x + 7y) + -3x(2 + 3y)
0 = (-4x * 3 + 7y * 3) + -3x(2 + 3y)
0 = (-12x + 21y) + -3x(2 + 3y)
0 = -12x + 21y + (2 * -3x + 3y * -3x)
0 = -12x + 21y + (-6x + -9xy)

Reorder the terms:
0 = -12x + -6x + -9xy + 21y

Combine like terms: -12x + -6x = -18x
0 = -18x + -9xy + 21y

Solving
0 = -18x + -9xy + 21y

Solving for variable 'x'.

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

Add '18x' to each side of the equation.
0 + 18x = -18x + -9xy + 18x + 21y
Remove the zero:
18x = -18x + -9xy + 18x + 21y

Reorder the terms:
18x = -18x + 18x + -9xy + 21y

Combine like terms: -18x + 18x = 0
18x = 0 + -9xy + 21y
18x = -9xy + 21y

Add '9xy' to each side of the equation.
18x + 9xy = -9xy + 9xy + 21y

Combine like terms: -9xy + 9xy = 0
18x + 9xy = 0 + 21y
18x + 9xy = 21y

Combine like terms: 21y + -21y = 0
18x + 9xy + -21y = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(6x + 3xy + -7y) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(6x + 3xy + -7y)' equal to zero and attempt to solve: Simplifying 6x + 3xy + -7y = 0 Solving 6x + 3xy + -7y = 0 Move all terms containing x to the left, all other terms to the right. Add '7y' to each side of the equation. 6x + 3xy + -7y + 7y = 0 + 7y Combine like terms: -7y + 7y = 0 6x + 3xy + 0 = 0 + 7y 6x + 3xy = 0 + 7y Remove the zero: 6x + 3xy = 7y 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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