(c*c)-4c-5=0

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Solution for (c*c)-4c-5=0 equation:


Simplifying
(c * c) + -4c + -5 = 0

Multiply c * c
(c2) + -4c + -5 = 0
c2 + -4c + -5 = 0

Reorder the terms:
-5 + -4c + c2 = 0

Solving
-5 + -4c + c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(-1 + -1c)(5 + -1c) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(5 + -1c)' equal to zero and attempt to solve: Simplifying 5 + -1c = 0 Solving 5 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1c = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1c = 0 + -5 -1c = 0 + -5 Combine like terms: 0 + -5 = -5 -1c = -5 Divide each side by '-1'. c = 5 Simplifying c = 5

Solution

c = {-1, 5}

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