(X+2)(x-6)=x^2-4x-12

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Solution for (X+2)(x-6)=x^2-4x-12 equation:


Simplifying
(X + 2)(x + -6) = x2 + -4x + -12

Reorder the terms:
(2 + X)(x + -6) = x2 + -4x + -12

Reorder the terms:
(2 + X)(-6 + x) = x2 + -4x + -12

Multiply (2 + X) * (-6 + x)
(2(-6 + x) + X(-6 + x)) = x2 + -4x + -12
((-6 * 2 + x * 2) + X(-6 + x)) = x2 + -4x + -12
((-12 + 2x) + X(-6 + x)) = x2 + -4x + -12
(-12 + 2x + (-6 * X + x * X)) = x2 + -4x + -12
(-12 + 2x + (-6X + xX)) = x2 + -4x + -12

Reorder the terms:
(-12 + -6X + 2x + xX) = x2 + -4x + -12
(-12 + -6X + 2x + xX) = x2 + -4x + -12

Reorder the terms:
-12 + -6X + 2x + xX = -12 + -4x + x2

Add '12' to each side of the equation.
-12 + -6X + 2x + 12 + xX = -12 + -4x + 12 + x2

Reorder the terms:
-12 + 12 + -6X + 2x + xX = -12 + -4x + 12 + x2

Combine like terms: -12 + 12 = 0
0 + -6X + 2x + xX = -12 + -4x + 12 + x2
-6X + 2x + xX = -12 + -4x + 12 + x2

Reorder the terms:
-6X + 2x + xX = -12 + 12 + -4x + x2

Combine like terms: -12 + 12 = 0
-6X + 2x + xX = 0 + -4x + x2
-6X + 2x + xX = -4x + x2

Solving
-6X + 2x + xX = -4x + x2

Solving for variable 'X'.

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

Add '-2x' to each side of the equation.
-6X + 2x + -2x + xX = -4x + -2x + x2

Combine like terms: 2x + -2x = 0
-6X + 0 + xX = -4x + -2x + x2
-6X + xX = -4x + -2x + x2

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

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

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

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

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

The solution to this equation could not be determined.

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