x^2-d=(x+6)(x+c)

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


Simplifying
x2 + -1d = (x + 6)(x + c)

Reorder the terms:
-1d + x2 = (x + 6)(x + c)

Reorder the terms:
-1d + x2 = (6 + x)(x + c)

Reorder the terms:
-1d + x2 = (6 + x)(c + x)

Multiply (6 + x) * (c + x)
-1d + x2 = (6(c + x) + x(c + x))
-1d + x2 = ((c * 6 + x * 6) + x(c + x))
-1d + x2 = ((6c + 6x) + x(c + x))
-1d + x2 = (6c + 6x + (c * x + x * x))
-1d + x2 = (6c + 6x + (cx + x2))

Reorder the terms:
-1d + x2 = (6c + cx + 6x + x2)
-1d + x2 = (6c + cx + 6x + x2)

Add '-1x2' to each side of the equation.
-1d + x2 + -1x2 = 6c + cx + 6x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-1d + 0 = 6c + cx + 6x + x2 + -1x2
-1d = 6c + cx + 6x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-1d = 6c + cx + 6x + 0
-1d = 6c + cx + 6x

Solving
-1d = 6c + cx + 6x

Solving for variable 'd'.

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

Divide each side by '-1'.
d = -6c + -1cx + -6x

Simplifying
d = -6c + -1cx + -6x

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