c(c-5)=24

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Solution for c(c-5)=24 equation:


Simplifying
c(c + -5) = 24

Reorder the terms:
c(-5 + c) = 24
(-5 * c + c * c) = 24
(-5c + c2) = 24

Solving
-5c + c2 = 24

Solving for variable 'c'.

Reorder the terms:
-24 + -5c + c2 = 24 + -24

Combine like terms: 24 + -24 = 0
-24 + -5c + c2 = 0

Factor a trinomial.
(-3 + -1c)(8 + -1c) = 0

Subproblem 1

Set the factor '(-3 + -1c)' equal to zero and attempt to solve: Simplifying -3 + -1c = 0 Solving -3 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1c = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1c = 0 + 3 -1c = 0 + 3 Combine like terms: 0 + 3 = 3 -1c = 3 Divide each side by '-1'. c = -3 Simplifying c = -3

Subproblem 2

Set the factor '(8 + -1c)' equal to zero and attempt to solve: Simplifying 8 + -1c = 0 Solving 8 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1c = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1c = 0 + -8 -1c = 0 + -8 Combine like terms: 0 + -8 = -8 -1c = -8 Divide each side by '-1'. c = 8 Simplifying c = 8

Solution

c = {-3, 8}

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