25c^2+20cp+4p^2=

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Solution for 25c^2+20cp+4p^2= equation:


Simplifying
25c2 + 20cp + 4p2 = 0

Reorder the terms:
20cp + 25c2 + 4p2 = 0

Solving
20cp + 25c2 + 4p2 = 0

Solving for variable 'c'.

Factor a trinomial.
(5c + 2p)(5c + 2p) = 0

Subproblem 1

Set the factor '(5c + 2p)' equal to zero and attempt to solve: Simplifying 5c + 2p = 0 Solving 5c + 2p = 0 Move all terms containing c to the left, all other terms to the right. Add '-2p' to each side of the equation. 5c + 2p + -2p = 0 + -2p Combine like terms: 2p + -2p = 0 5c + 0 = 0 + -2p 5c = 0 + -2p Remove the zero: 5c = -2p Divide each side by '5'. c = -0.4p Simplifying c = -0.4p

Subproblem 2

Set the factor '(5c + 2p)' equal to zero and attempt to solve: Simplifying 5c + 2p = 0 Solving 5c + 2p = 0 Move all terms containing c to the left, all other terms to the right. Add '-2p' to each side of the equation. 5c + 2p + -2p = 0 + -2p Combine like terms: 2p + -2p = 0 5c + 0 = 0 + -2p 5c = 0 + -2p Remove the zero: 5c = -2p Divide each side by '5'. c = -0.4p Simplifying c = -0.4p

Solution

c = {-0.4p, -0.4p}

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