(X+2)(x+6)-x(x-2)=132

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Solution for (X+2)(x+6)-x(x-2)=132 equation: 


Simplifying
(X + 2)(x + 6) + -1x(x + -2) = 132

Reorder the terms:
(2 + X)(x + 6) + -1x(x + -2) = 132

Reorder the terms:
(2 + X)(6 + x) + -1x(x + -2) = 132

Multiply (2 + X) * (6 + x)
(2(6 + x) + X(6 + x)) + -1x(x + -2) = 132
((6 * 2 + x * 2) + X(6 + x)) + -1x(x + -2) = 132
((12 + 2x) + X(6 + x)) + -1x(x + -2) = 132
(12 + 2x + (6 * X + x * X)) + -1x(x + -2) = 132
(12 + 2x + (6X + xX)) + -1x(x + -2) = 132

Reorder the terms:
(12 + 6X + 2x + xX) + -1x(x + -2) = 132
(12 + 6X + 2x + xX) + -1x(x + -2) = 132

Reorder the terms:
12 + 6X + 2x + xX + -1x(-2 + x) = 132
12 + 6X + 2x + xX + (-2 * -1x + x * -1x) = 132
12 + 6X + 2x + xX + (2x + -1x2) = 132

Reorder the terms:
12 + 6X + 2x + 2x + xX + -1x2 = 132

Combine like terms: 2x + 2x = 4x
12 + 6X + 4x + xX + -1x2 = 132

Solving
12 + 6X + 4x + xX + -1x2 = 132

Solving for variable 'X'.

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

Add '-12' to each side of the equation.
12 + 6X + 4x + xX + -12 + -1x2 = 132 + -12

Reorder the terms:
12 + -12 + 6X + 4x + xX + -1x2 = 132 + -12

Combine like terms: 12 + -12 = 0
0 + 6X + 4x + xX + -1x2 = 132 + -12
6X + 4x + xX + -1x2 = 132 + -12

Combine like terms: 132 + -12 = 120
6X + 4x + xX + -1x2 = 120

Add '-4x' to each side of the equation.
6X + 4x + xX + -4x + -1x2 = 120 + -4x

Reorder the terms:
6X + 4x + -4x + xX + -1x2 = 120 + -4x

Combine like terms: 4x + -4x = 0
6X + 0 + xX + -1x2 = 120 + -4x
6X + xX + -1x2 = 120 + -4x

Add 'x2' to each side of the equation.
6X + xX + -1x2 + x2 = 120 + -4x + x2

Combine like terms: -1x2 + x2 = 0
6X + xX + 0 = 120 + -4x + x2
6X + xX = 120 + -4x + x2

Reorder the terms:
-120 + 6X + 4x + xX + -1x2 = 120 + -4x + x2 + -120 + 4x + -1x2

Reorder the terms:
-120 + 6X + 4x + xX + -1x2 = 120 + -120 + -4x + 4x + x2 + -1x2

Combine like terms: 120 + -120 = 0
-120 + 6X + 4x + xX + -1x2 = 0 + -4x + 4x + x2 + -1x2
-120 + 6X + 4x + xX + -1x2 = -4x + 4x + x2 + -1x2

Combine like terms: -4x + 4x = 0
-120 + 6X + 4x + xX + -1x2 = 0 + x2 + -1x2
-120 + 6X + 4x + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-120 + 6X + 4x + xX + -1x2 = 0

The solution to this equation could not be determined.

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