4x+4y(-x-6)=-24

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Solution for 4x+4y(-x-6)=-24 equation:


Simplifying
4x + 4y(-1x + -6) = -24

Reorder the terms:
4x + 4y(-6 + -1x) = -24
4x + (-6 * 4y + -1x * 4y) = -24

Reorder the terms:
4x + (-4xy + -24y) = -24
4x + (-4xy + -24y) = -24

Solving
4x + -4xy + -24y = -24

Solving for variable 'x'.

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

Add '24y' to each side of the equation.
4x + -4xy + -24y + 24y = -24 + 24y

Combine like terms: -24y + 24y = 0
4x + -4xy + 0 = -24 + 24y
4x + -4xy = -24 + 24y

Reorder the terms:
24 + 4x + -4xy + -24y = -24 + 24y + 24 + -24y

Reorder the terms:
24 + 4x + -4xy + -24y = -24 + 24 + 24y + -24y

Combine like terms: -24 + 24 = 0
24 + 4x + -4xy + -24y = 0 + 24y + -24y
24 + 4x + -4xy + -24y = 24y + -24y

Combine like terms: 24y + -24y = 0
24 + 4x + -4xy + -24y = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(6 + x + -1xy + -6y) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(6 + x + -1xy + -6y)' equal to zero and attempt to solve: Simplifying 6 + x + -1xy + -6y = 0 Solving 6 + x + -1xy + -6y = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + x + -1xy + -6 + -6y = 0 + -6 Reorder the terms: 6 + -6 + x + -1xy + -6y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x + -1xy + -6y = 0 + -6 x + -1xy + -6y = 0 + -6 Combine like terms: 0 + -6 = -6 x + -1xy + -6y = -6 Add '6y' to each side of the equation. x + -1xy + -6y + 6y = -6 + 6y Combine like terms: -6y + 6y = 0 x + -1xy + 0 = -6 + 6y x + -1xy = -6 + 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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