(X+6)(x-6)=x^2+cx+d

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


Simplifying
(X + 6)(x + -6) = x2 + cx + d

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

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

Multiply (6 + X) * (-6 + x)
(6(-6 + x) + X(-6 + x)) = x2 + cx + d
((-6 * 6 + x * 6) + X(-6 + x)) = x2 + cx + d
((-36 + 6x) + X(-6 + x)) = x2 + cx + d
(-36 + 6x + (-6 * X + x * X)) = x2 + cx + d
(-36 + 6x + (-6X + xX)) = x2 + cx + d

Reorder the terms:
(-36 + -6X + 6x + xX) = x2 + cx + d
(-36 + -6X + 6x + xX) = x2 + cx + d

Reorder the terms:
-36 + -6X + 6x + xX = cx + d + x2

Solving
-36 + -6X + 6x + xX = cx + d + x2

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 + 6x + 36 + xX = cx + d + 36 + x2

Reorder the terms:
-36 + 36 + -6X + 6x + xX = cx + d + 36 + x2

Combine like terms: -36 + 36 = 0
0 + -6X + 6x + xX = cx + d + 36 + x2
-6X + 6x + xX = cx + d + 36 + x2

Reorder the terms:
-6X + 6x + xX = 36 + cx + d + x2

Add '-6x' to each side of the equation.
-6X + 6x + -6x + xX = 36 + cx + d + -6x + x2

Combine like terms: 6x + -6x = 0
-6X + 0 + xX = 36 + cx + d + -6x + x2
-6X + xX = 36 + cx + d + -6x + x2

Reorder the terms:
-36 + -6X + -1cx + -1d + 6x + xX + -1x2 = 36 + cx + d + -6x + x2 + -36 + -1cx + -1d + 6x + -1x2

Reorder the terms:
-36 + -6X + -1cx + -1d + 6x + xX + -1x2 = 36 + -36 + cx + -1cx + d + -1d + -6x + 6x + x2 + -1x2

Combine like terms: 36 + -36 = 0
-36 + -6X + -1cx + -1d + 6x + xX + -1x2 = 0 + cx + -1cx + d + -1d + -6x + 6x + x2 + -1x2
-36 + -6X + -1cx + -1d + 6x + xX + -1x2 = cx + -1cx + d + -1d + -6x + 6x + x2 + -1x2

Combine like terms: cx + -1cx = 0
-36 + -6X + -1cx + -1d + 6x + xX + -1x2 = 0 + d + -1d + -6x + 6x + x2 + -1x2
-36 + -6X + -1cx + -1d + 6x + xX + -1x2 = d + -1d + -6x + 6x + x2 + -1x2

Combine like terms: d + -1d = 0
-36 + -6X + -1cx + -1d + 6x + xX + -1x2 = 0 + -6x + 6x + x2 + -1x2
-36 + -6X + -1cx + -1d + 6x + xX + -1x2 = -6x + 6x + x2 + -1x2

Combine like terms: -6x + 6x = 0
-36 + -6X + -1cx + -1d + 6x + xX + -1x2 = 0 + x2 + -1x2
-36 + -6X + -1cx + -1d + 6x + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-36 + -6X + -1cx + -1d + 6x + xX + -1x2 = 0

The solution to this equation could not be determined.

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