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

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


Simplifying
(X + -3)(x + 6) = x2 + 6

Reorder the terms:
(-3 + X)(x + 6) = x2 + 6

Reorder the terms:
(-3 + X)(6 + x) = x2 + 6

Multiply (-3 + X) * (6 + x)
(-3(6 + x) + X(6 + x)) = x2 + 6
((6 * -3 + x * -3) + X(6 + x)) = x2 + 6
((-18 + -3x) + X(6 + x)) = x2 + 6
(-18 + -3x + (6 * X + x * X)) = x2 + 6
(-18 + -3x + (6X + xX)) = x2 + 6

Reorder the terms:
(-18 + 6X + -3x + xX) = x2 + 6
(-18 + 6X + -3x + xX) = x2 + 6

Reorder the terms:
-18 + 6X + -3x + xX = 6 + x2

Solving
-18 + 6X + -3x + xX = 6 + x2

Solving for variable 'X'.

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

Add '18' to each side of the equation.
-18 + 6X + -3x + 18 + xX = 6 + 18 + x2

Reorder the terms:
-18 + 18 + 6X + -3x + xX = 6 + 18 + x2

Combine like terms: -18 + 18 = 0
0 + 6X + -3x + xX = 6 + 18 + x2
6X + -3x + xX = 6 + 18 + x2

Combine like terms: 6 + 18 = 24
6X + -3x + xX = 24 + x2

Add '3x' to each side of the equation.
6X + -3x + 3x + xX = 24 + 3x + x2

Combine like terms: -3x + 3x = 0
6X + 0 + xX = 24 + 3x + x2
6X + xX = 24 + 3x + x2

Reorder the terms:
-24 + 6X + -3x + xX + -1x2 = 24 + 3x + x2 + -24 + -3x + -1x2

Reorder the terms:
-24 + 6X + -3x + xX + -1x2 = 24 + -24 + 3x + -3x + x2 + -1x2

Combine like terms: 24 + -24 = 0
-24 + 6X + -3x + xX + -1x2 = 0 + 3x + -3x + x2 + -1x2
-24 + 6X + -3x + xX + -1x2 = 3x + -3x + x2 + -1x2

Combine like terms: 3x + -3x = 0
-24 + 6X + -3x + xX + -1x2 = 0 + x2 + -1x2
-24 + 6X + -3x + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-24 + 6X + -3x + xX + -1x2 = 0

The solution to this equation could not be determined.

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