(X+6)(x+6)(3x-2)=180

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Solution for (X+6)(x+6)(3x-2)=180 equation: 


Simplifying
(X + 6)(x + 6)(3x + -2) = 180

Reorder the terms:
(6 + X)(x + 6)(3x + -2) = 180

Reorder the terms:
(6 + X)(6 + x)(3x + -2) = 180

Reorder the terms:
(6 + X)(6 + x)(-2 + 3x) = 180

Multiply (6 + X) * (6 + x)
(6(6 + x) + X(6 + x))(-2 + 3x) = 180
((6 * 6 + x * 6) + X(6 + x))(-2 + 3x) = 180
((36 + 6x) + X(6 + x))(-2 + 3x) = 180
(36 + 6x + (6 * X + x * X))(-2 + 3x) = 180
(36 + 6x + (6X + xX))(-2 + 3x) = 180

Reorder the terms:
(36 + 6X + 6x + xX)(-2 + 3x) = 180
(36 + 6X + 6x + xX)(-2 + 3x) = 180

Multiply (36 + 6X + 6x + xX) * (-2 + 3x)
(36(-2 + 3x) + 6X * (-2 + 3x) + 6x * (-2 + 3x) + xX(-2 + 3x)) = 180
((-2 * 36 + 3x * 36) + 6X * (-2 + 3x) + 6x * (-2 + 3x) + xX(-2 + 3x)) = 180
((-72 + 108x) + 6X * (-2 + 3x) + 6x * (-2 + 3x) + xX(-2 + 3x)) = 180
(-72 + 108x + (-2 * 6X + 3x * 6X) + 6x * (-2 + 3x) + xX(-2 + 3x)) = 180
(-72 + 108x + (-12X + 18xX) + 6x * (-2 + 3x) + xX(-2 + 3x)) = 180
(-72 + 108x + -12X + 18xX + (-2 * 6x + 3x * 6x) + xX(-2 + 3x)) = 180
(-72 + 108x + -12X + 18xX + (-12x + 18x2) + xX(-2 + 3x)) = 180
(-72 + 108x + -12X + 18xX + -12x + 18x2 + (-2 * xX + 3x * xX)) = 180
(-72 + 108x + -12X + 18xX + -12x + 18x2 + (-2xX + 3x2X)) = 180

Reorder the terms:
(-72 + -12X + 108x + -12x + 18xX + -2xX + 18x2 + 3x2X) = 180

Combine like terms: 108x + -12x = 96x
(-72 + -12X + 96x + 18xX + -2xX + 18x2 + 3x2X) = 180

Combine like terms: 18xX + -2xX = 16xX
(-72 + -12X + 96x + 16xX + 18x2 + 3x2X) = 180

Solving
-72 + -12X + 96x + 16xX + 18x2 + 3x2X = 180

Solving for variable 'X'.

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

Add '72' to each side of the equation.
-72 + -12X + 96x + 16xX + 18x2 + 72 + 3x2X = 180 + 72

Reorder the terms:
-72 + 72 + -12X + 96x + 16xX + 18x2 + 3x2X = 180 + 72

Combine like terms: -72 + 72 = 0
0 + -12X + 96x + 16xX + 18x2 + 3x2X = 180 + 72
-12X + 96x + 16xX + 18x2 + 3x2X = 180 + 72

Combine like terms: 180 + 72 = 252
-12X + 96x + 16xX + 18x2 + 3x2X = 252

Add '-96x' to each side of the equation.
-12X + 96x + 16xX + 18x2 + -96x + 3x2X = 252 + -96x

Reorder the terms:
-12X + 96x + -96x + 16xX + 18x2 + 3x2X = 252 + -96x

Combine like terms: 96x + -96x = 0
-12X + 0 + 16xX + 18x2 + 3x2X = 252 + -96x
-12X + 16xX + 18x2 + 3x2X = 252 + -96x

Add '-18x2' to each side of the equation.
-12X + 16xX + 18x2 + -18x2 + 3x2X = 252 + -96x + -18x2

Combine like terms: 18x2 + -18x2 = 0
-12X + 16xX + 0 + 3x2X = 252 + -96x + -18x2
-12X + 16xX + 3x2X = 252 + -96x + -18x2

Reorder the terms:
-252 + -12X + 96x + 16xX + 18x2 + 3x2X = 252 + -96x + -18x2 + -252 + 96x + 18x2

Reorder the terms:
-252 + -12X + 96x + 16xX + 18x2 + 3x2X = 252 + -252 + -96x + 96x + -18x2 + 18x2

Combine like terms: 252 + -252 = 0
-252 + -12X + 96x + 16xX + 18x2 + 3x2X = 0 + -96x + 96x + -18x2 + 18x2
-252 + -12X + 96x + 16xX + 18x2 + 3x2X = -96x + 96x + -18x2 + 18x2

Combine like terms: -96x + 96x = 0
-252 + -12X + 96x + 16xX + 18x2 + 3x2X = 0 + -18x2 + 18x2
-252 + -12X + 96x + 16xX + 18x2 + 3x2X = -18x2 + 18x2

Combine like terms: -18x2 + 18x2 = 0
-252 + -12X + 96x + 16xX + 18x2 + 3x2X = 0

The solution to this equation could not be determined.

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