(x+2)(y^2+2y-12)=

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Solution for (x+2)(y^2+2y-12)= equation:


Simplifying
(x + 2)(y2 + 2y + -12) = 0

Reorder the terms:
(2 + x)(y2 + 2y + -12) = 0

Reorder the terms:
(2 + x)(-12 + 2y + y2) = 0

Multiply (2 + x) * (-12 + 2y + y2)
(2(-12 + 2y + y2) + x(-12 + 2y + y2)) = 0
((-12 * 2 + 2y * 2 + y2 * 2) + x(-12 + 2y + y2)) = 0
((-24 + 4y + 2y2) + x(-12 + 2y + y2)) = 0
(-24 + 4y + 2y2 + (-12 * x + 2y * x + y2 * x)) = 0
(-24 + 4y + 2y2 + (-12x + 2xy + xy2)) = 0

Reorder the terms:
(-24 + -12x + 2xy + xy2 + 4y + 2y2) = 0
(-24 + -12x + 2xy + xy2 + 4y + 2y2) = 0

Solving
-24 + -12x + 2xy + xy2 + 4y + 2y2 = 0

Solving for variable 'x'.

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

Add '24' to each side of the equation.
-24 + -12x + 2xy + xy2 + 4y + 24 + 2y2 = 0 + 24

Reorder the terms:
-24 + 24 + -12x + 2xy + xy2 + 4y + 2y2 = 0 + 24

Combine like terms: -24 + 24 = 0
0 + -12x + 2xy + xy2 + 4y + 2y2 = 0 + 24
-12x + 2xy + xy2 + 4y + 2y2 = 0 + 24

Combine like terms: 0 + 24 = 24
-12x + 2xy + xy2 + 4y + 2y2 = 24

Add '-4y' to each side of the equation.
-12x + 2xy + xy2 + 4y + -4y + 2y2 = 24 + -4y

Combine like terms: 4y + -4y = 0
-12x + 2xy + xy2 + 0 + 2y2 = 24 + -4y
-12x + 2xy + xy2 + 2y2 = 24 + -4y

Add '-2y2' to each side of the equation.
-12x + 2xy + xy2 + 2y2 + -2y2 = 24 + -4y + -2y2

Combine like terms: 2y2 + -2y2 = 0
-12x + 2xy + xy2 + 0 = 24 + -4y + -2y2
-12x + 2xy + xy2 = 24 + -4y + -2y2

Reorder the terms:
-24 + -12x + 2xy + xy2 + 4y + 2y2 = 24 + -4y + -2y2 + -24 + 4y + 2y2

Reorder the terms:
-24 + -12x + 2xy + xy2 + 4y + 2y2 = 24 + -24 + -4y + 4y + -2y2 + 2y2

Combine like terms: 24 + -24 = 0
-24 + -12x + 2xy + xy2 + 4y + 2y2 = 0 + -4y + 4y + -2y2 + 2y2
-24 + -12x + 2xy + xy2 + 4y + 2y2 = -4y + 4y + -2y2 + 2y2

Combine like terms: -4y + 4y = 0
-24 + -12x + 2xy + xy2 + 4y + 2y2 = 0 + -2y2 + 2y2
-24 + -12x + 2xy + xy2 + 4y + 2y2 = -2y2 + 2y2

Combine like terms: -2y2 + 2y2 = 0
-24 + -12x + 2xy + xy2 + 4y + 2y2 = 0

The solution to this equation could not be determined.

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