(X-2)(x+2)-3x=-6

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Solution for (X-2)(x+2)-3x=-6 equation:


Simplifying
(X + -2)(x + 2) + -3x = -6

Reorder the terms:
(-2 + X)(x + 2) + -3x = -6

Reorder the terms:
(-2 + X)(2 + x) + -3x = -6

Multiply (-2 + X) * (2 + x)
(-2(2 + x) + X(2 + x)) + -3x = -6
((2 * -2 + x * -2) + X(2 + x)) + -3x = -6
((-4 + -2x) + X(2 + x)) + -3x = -6
(-4 + -2x + (2 * X + x * X)) + -3x = -6
(-4 + -2x + (2X + xX)) + -3x = -6

Reorder the terms:
(-4 + 2X + -2x + xX) + -3x = -6
(-4 + 2X + -2x + xX) + -3x = -6

Reorder the terms:
-4 + 2X + -2x + -3x + xX = -6

Combine like terms: -2x + -3x = -5x
-4 + 2X + -5x + xX = -6

Solving
-4 + 2X + -5x + xX = -6

Solving for variable 'X'.

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

Add '4' to each side of the equation.
-4 + 2X + -5x + 4 + xX = -6 + 4

Reorder the terms:
-4 + 4 + 2X + -5x + xX = -6 + 4

Combine like terms: -4 + 4 = 0
0 + 2X + -5x + xX = -6 + 4
2X + -5x + xX = -6 + 4

Combine like terms: -6 + 4 = -2
2X + -5x + xX = -2

Add '5x' to each side of the equation.
2X + -5x + 5x + xX = -2 + 5x

Combine like terms: -5x + 5x = 0
2X + 0 + xX = -2 + 5x
2X + xX = -2 + 5x

Reorder the terms:
2 + 2X + -5x + xX = -2 + 5x + 2 + -5x

Reorder the terms:
2 + 2X + -5x + xX = -2 + 2 + 5x + -5x

Combine like terms: -2 + 2 = 0
2 + 2X + -5x + xX = 0 + 5x + -5x
2 + 2X + -5x + xX = 5x + -5x

Combine like terms: 5x + -5x = 0
2 + 2X + -5x + xX = 0

The solution to this equation could not be determined.

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