(c-p)(c-p)=

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Solution for (c-p)(c-p)= equation:


Simplifying
(c + -1p)(c + -1p) = 0

Multiply (c + -1p) * (c + -1p)
(c(c + -1p) + -1p * (c + -1p)) = 0
((c * c + -1p * c) + -1p * (c + -1p)) = 0

Reorder the terms:
((-1cp + c2) + -1p * (c + -1p)) = 0
((-1cp + c2) + -1p * (c + -1p)) = 0
(-1cp + c2 + (c * -1p + -1p * -1p)) = 0
(-1cp + c2 + (-1cp + 1p2)) = 0

Reorder the terms:
(-1cp + -1cp + c2 + 1p2) = 0

Combine like terms: -1cp + -1cp = -2cp
(-2cp + c2 + 1p2) = 0

Solving
-2cp + c2 + 1p2 = 0

Solving for variable 'c'.

Factor a trinomial.
(c + -1p)(c + -1p) = 0

Subproblem 1

Set the factor '(c + -1p)' equal to zero and attempt to solve: Simplifying c + -1p = 0 Solving c + -1p = 0 Move all terms containing c to the left, all other terms to the right. Add 'p' to each side of the equation. c + -1p + p = 0 + p Combine like terms: -1p + p = 0 c + 0 = 0 + p c = 0 + p Remove the zero: c = p Simplifying c = p

Subproblem 2

Set the factor '(c + -1p)' equal to zero and attempt to solve: Simplifying c + -1p = 0 Solving c + -1p = 0 Move all terms containing c to the left, all other terms to the right. Add 'p' to each side of the equation. c + -1p + p = 0 + p Combine like terms: -1p + p = 0 c + 0 = 0 + p c = 0 + p Remove the zero: c = p Simplifying c = p

Solution

c = {p, p}

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