3x-3y(4x-7)=12

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Solution for 3x-3y(4x-7)=12 equation:


Simplifying
3x + -3y(4x + -7) = 12

Reorder the terms:
3x + -3y(-7 + 4x) = 12
3x + (-7 * -3y + 4x * -3y) = 12

Reorder the terms:
3x + (-12xy + 21y) = 12
3x + (-12xy + 21y) = 12

Solving
3x + -12xy + 21y = 12

Solving for variable 'x'.

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

Add '-21y' to each side of the equation.
3x + -12xy + 21y + -21y = 12 + -21y

Combine like terms: 21y + -21y = 0
3x + -12xy + 0 = 12 + -21y
3x + -12xy = 12 + -21y

Reorder the terms:
-12 + 3x + -12xy + 21y = 12 + -21y + -12 + 21y

Reorder the terms:
-12 + 3x + -12xy + 21y = 12 + -12 + -21y + 21y

Combine like terms: 12 + -12 = 0
-12 + 3x + -12xy + 21y = 0 + -21y + 21y
-12 + 3x + -12xy + 21y = -21y + 21y

Combine like terms: -21y + 21y = 0
-12 + 3x + -12xy + 21y = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-4 + x + -4xy + 7y) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-4 + x + -4xy + 7y)' equal to zero and attempt to solve: Simplifying -4 + x + -4xy + 7y = 0 Solving -4 + x + -4xy + 7y = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + x + -4xy + 4 + 7y = 0 + 4 Reorder the terms: -4 + 4 + x + -4xy + 7y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x + -4xy + 7y = 0 + 4 x + -4xy + 7y = 0 + 4 Combine like terms: 0 + 4 = 4 x + -4xy + 7y = 4 Add '-7y' to each side of the equation. x + -4xy + 7y + -7y = 4 + -7y Combine like terms: 7y + -7y = 0 x + -4xy + 0 = 4 + -7y x + -4xy = 4 + -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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