(X+2)(3x+12)=(2x-1)(2x+11)

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Solution for (X+2)(3x+12)=(2x-1)(2x+11) equation: 


Simplifying
(X + 2)(3x + 12) = (2x + -1)(2x + 11)

Reorder the terms:
(2 + X)(3x + 12) = (2x + -1)(2x + 11)

Reorder the terms:
(2 + X)(12 + 3x) = (2x + -1)(2x + 11)

Multiply (2 + X) * (12 + 3x)
(2(12 + 3x) + X(12 + 3x)) = (2x + -1)(2x + 11)
((12 * 2 + 3x * 2) + X(12 + 3x)) = (2x + -1)(2x + 11)
((24 + 6x) + X(12 + 3x)) = (2x + -1)(2x + 11)
(24 + 6x + (12 * X + 3x * X)) = (2x + -1)(2x + 11)
(24 + 6x + (12X + 3xX)) = (2x + -1)(2x + 11)

Reorder the terms:
(24 + 12X + 6x + 3xX) = (2x + -1)(2x + 11)
(24 + 12X + 6x + 3xX) = (2x + -1)(2x + 11)

Reorder the terms:
24 + 12X + 6x + 3xX = (-1 + 2x)(2x + 11)

Reorder the terms:
24 + 12X + 6x + 3xX = (-1 + 2x)(11 + 2x)

Multiply (-1 + 2x) * (11 + 2x)
24 + 12X + 6x + 3xX = (-1(11 + 2x) + 2x * (11 + 2x))
24 + 12X + 6x + 3xX = ((11 * -1 + 2x * -1) + 2x * (11 + 2x))
24 + 12X + 6x + 3xX = ((-11 + -2x) + 2x * (11 + 2x))
24 + 12X + 6x + 3xX = (-11 + -2x + (11 * 2x + 2x * 2x))
24 + 12X + 6x + 3xX = (-11 + -2x + (22x + 4x2))

Combine like terms: -2x + 22x = 20x
24 + 12X + 6x + 3xX = (-11 + 20x + 4x2)

Solving
24 + 12X + 6x + 3xX = -11 + 20x + 4x2

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 + 6x + -24 + 3xX = -11 + 20x + -24 + 4x2

Reorder the terms:
24 + -24 + 12X + 6x + 3xX = -11 + 20x + -24 + 4x2

Combine like terms: 24 + -24 = 0
0 + 12X + 6x + 3xX = -11 + 20x + -24 + 4x2
12X + 6x + 3xX = -11 + 20x + -24 + 4x2

Reorder the terms:
12X + 6x + 3xX = -11 + -24 + 20x + 4x2

Combine like terms: -11 + -24 = -35
12X + 6x + 3xX = -35 + 20x + 4x2

Add '-6x' to each side of the equation.
12X + 6x + -6x + 3xX = -35 + 20x + -6x + 4x2

Combine like terms: 6x + -6x = 0
12X + 0 + 3xX = -35 + 20x + -6x + 4x2
12X + 3xX = -35 + 20x + -6x + 4x2

Combine like terms: 20x + -6x = 14x
12X + 3xX = -35 + 14x + 4x2

Reorder the terms:
35 + 12X + -14x + 3xX + -4x2 = -35 + 14x + 4x2 + 35 + -14x + -4x2

Reorder the terms:
35 + 12X + -14x + 3xX + -4x2 = -35 + 35 + 14x + -14x + 4x2 + -4x2

Combine like terms: -35 + 35 = 0
35 + 12X + -14x + 3xX + -4x2 = 0 + 14x + -14x + 4x2 + -4x2
35 + 12X + -14x + 3xX + -4x2 = 14x + -14x + 4x2 + -4x2

Combine like terms: 14x + -14x = 0
35 + 12X + -14x + 3xX + -4x2 = 0 + 4x2 + -4x2
35 + 12X + -14x + 3xX + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
35 + 12X + -14x + 3xX + -4x2 = 0

The solution to this equation could not be determined.

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