(2x+6)(X+6)=360

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Solution for (2x+6)(X+6)=360 equation:


Simplifying
(2x + 6)(X + 6) = 360

Reorder the terms:
(6 + 2x)(X + 6) = 360

Reorder the terms:
(6 + 2x)(6 + X) = 360

Multiply (6 + 2x) * (6 + X)
(6(6 + X) + 2x * (6 + X)) = 360
((6 * 6 + X * 6) + 2x * (6 + X)) = 360
((36 + 6X) + 2x * (6 + X)) = 360
(36 + 6X + (6 * 2x + X * 2x)) = 360
(36 + 6X + (12x + 2xX)) = 360
(36 + 6X + 12x + 2xX) = 360

Solving
36 + 6X + 12x + 2xX = 360

Solving for variable 'X'.

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

Add '-36' to each side of the equation.
36 + 6X + 12x + -36 + 2xX = 360 + -36

Reorder the terms:
36 + -36 + 6X + 12x + 2xX = 360 + -36

Combine like terms: 36 + -36 = 0
0 + 6X + 12x + 2xX = 360 + -36
6X + 12x + 2xX = 360 + -36

Combine like terms: 360 + -36 = 324
6X + 12x + 2xX = 324

Add '-12x' to each side of the equation.
6X + 12x + -12x + 2xX = 324 + -12x

Combine like terms: 12x + -12x = 0
6X + 0 + 2xX = 324 + -12x
6X + 2xX = 324 + -12x

Reorder the terms:
-324 + 6X + 12x + 2xX = 324 + -12x + -324 + 12x

Reorder the terms:
-324 + 6X + 12x + 2xX = 324 + -324 + -12x + 12x

Combine like terms: 324 + -324 = 0
-324 + 6X + 12x + 2xX = 0 + -12x + 12x
-324 + 6X + 12x + 2xX = -12x + 12x

Combine like terms: -12x + 12x = 0
-324 + 6X + 12x + 2xX = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-162 + 3X + 6x + xX) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-162 + 3X + 6x + xX)' equal to zero and attempt to solve: Simplifying -162 + 3X + 6x + xX = 0 Solving -162 + 3X + 6x + xX = 0 Move all terms containing X to the left, all other terms to the right. Add '162' to each side of the equation. -162 + 3X + 6x + 162 + xX = 0 + 162 Reorder the terms: -162 + 162 + 3X + 6x + xX = 0 + 162 Combine like terms: -162 + 162 = 0 0 + 3X + 6x + xX = 0 + 162 3X + 6x + xX = 0 + 162 Combine like terms: 0 + 162 = 162 3X + 6x + xX = 162 Add '-6x' to each side of the equation. 3X + 6x + -6x + xX = 162 + -6x Combine like terms: 6x + -6x = 0 3X + 0 + xX = 162 + -6x 3X + xX = 162 + -6x 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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