x^2-d=(x+9)(x+c)

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Solution for x^2-d=(x+9)(x+c) equation: 


Simplifying
x2 + -1d = (x + 9)(x + c)

Reorder the terms:
-1d + x2 = (x + 9)(x + c)

Reorder the terms:
-1d + x2 = (9 + x)(x + c)

Reorder the terms:
-1d + x2 = (9 + x)(c + x)

Multiply (9 + x) * (c + x)
-1d + x2 = (9(c + x) + x(c + x))
-1d + x2 = ((c * 9 + x * 9) + x(c + x))
-1d + x2 = ((9c + 9x) + x(c + x))
-1d + x2 = (9c + 9x + (c * x + x * x))
-1d + x2 = (9c + 9x + (cx + x2))

Reorder the terms:
-1d + x2 = (9c + cx + 9x + x2)
-1d + x2 = (9c + cx + 9x + x2)

Add '-1x2' to each side of the equation.
-1d + x2 + -1x2 = 9c + cx + 9x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-1d + 0 = 9c + cx + 9x + x2 + -1x2
-1d = 9c + cx + 9x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-1d = 9c + cx + 9x + 0
-1d = 9c + cx + 9x

Solving
-1d = 9c + cx + 9x

Solving for variable 'd'.

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

Divide each side by '-1'.
d = -9c + -1cx + -9x

Simplifying
d = -9c + -1cx + -9x

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