(X+2)(3x+12)=36

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Solution for (X+2)(3x+12)=36 equation:


Simplifying
(X + 2)(3x + 12) = 36

Reorder the terms:
(2 + X)(3x + 12) = 36

Reorder the terms:
(2 + X)(12 + 3x) = 36

Multiply (2 + X) * (12 + 3x)
(2(12 + 3x) + X(12 + 3x)) = 36
((12 * 2 + 3x * 2) + X(12 + 3x)) = 36
((24 + 6x) + X(12 + 3x)) = 36
(24 + 6x + (12 * X + 3x * X)) = 36
(24 + 6x + (12X + 3xX)) = 36

Reorder the terms:
(24 + 12X + 6x + 3xX) = 36
(24 + 12X + 6x + 3xX) = 36

Solving
24 + 12X + 6x + 3xX = 36

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 = 36 + -24

Reorder the terms:
24 + -24 + 12X + 6x + 3xX = 36 + -24

Combine like terms: 24 + -24 = 0
0 + 12X + 6x + 3xX = 36 + -24
12X + 6x + 3xX = 36 + -24

Combine like terms: 36 + -24 = 12
12X + 6x + 3xX = 12

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

Combine like terms: 6x + -6x = 0
12X + 0 + 3xX = 12 + -6x
12X + 3xX = 12 + -6x

Reorder the terms:
-12 + 12X + 6x + 3xX = 12 + -6x + -12 + 6x

Reorder the terms:
-12 + 12X + 6x + 3xX = 12 + -12 + -6x + 6x

Combine like terms: 12 + -12 = 0
-12 + 12X + 6x + 3xX = 0 + -6x + 6x
-12 + 12X + 6x + 3xX = -6x + 6x

Combine like terms: -6x + 6x = 0
-12 + 12X + 6x + 3xX = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-4 + 4X + 2x + xX) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-4 + 4X + 2x + xX)' equal to zero and attempt to solve: Simplifying -4 + 4X + 2x + xX = 0 Solving -4 + 4X + 2x + xX = 0 Move all terms containing X to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4X + 2x + 4 + xX = 0 + 4 Reorder the terms: -4 + 4 + 4X + 2x + xX = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 4X + 2x + xX = 0 + 4 4X + 2x + xX = 0 + 4 Combine like terms: 0 + 4 = 4 4X + 2x + xX = 4 Add '-2x' to each side of the equation. 4X + 2x + -2x + xX = 4 + -2x Combine like terms: 2x + -2x = 0 4X + 0 + xX = 4 + -2x 4X + xX = 4 + -2x 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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