x^2-cx+25=x^2-2dx+d^2

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Solution for x^2-cx+25=x^2-2dx+d^2 equation: 


Simplifying
x2 + -1cx + 25 = x2 + -2dx + d2

Reorder the terms:
25 + -1cx + x2 = x2 + -2dx + d2

Reorder the terms:
25 + -1cx + x2 = -2dx + d2 + x2

Add '-1x2' to each side of the equation.
25 + -1cx + x2 + -1x2 = -2dx + d2 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
25 + -1cx + 0 = -2dx + d2 + x2 + -1x2
25 + -1cx = -2dx + d2 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
25 + -1cx = -2dx + d2 + 0
25 + -1cx = -2dx + d2

Solving
25 + -1cx = -2dx + d2

Solving for variable 'c'.

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

Add '-25' to each side of the equation.
25 + -25 + -1cx = -2dx + -25 + d2

Combine like terms: 25 + -25 = 0
0 + -1cx = -2dx + -25 + d2
-1cx = -2dx + -25 + d2

Reorder the terms:
-1cx = -25 + -2dx + d2

Divide each side by '-1x'.
c = 25x-1 + 2d + -1d2x-1

Simplifying
c = 25x-1 + 2d + -1d2x-1

Reorder the terms:
c = 2d + -1d2x-1 + 25x-1

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