c^2-36=-5c

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Solution for c^2-36=-5c equation:


Simplifying
c2 + -36 = -5c

Reorder the terms:
-36 + c2 = -5c

Solving
-36 + c2 = -5c

Solving for variable 'c'.

Reorder the terms:
-36 + 5c + c2 = -5c + 5c

Combine like terms: -5c + 5c = 0
-36 + 5c + c2 = 0

Factor a trinomial.
(-9 + -1c)(4 + -1c) = 0

Subproblem 1

Set the factor '(-9 + -1c)' equal to zero and attempt to solve: Simplifying -9 + -1c = 0 Solving -9 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1c = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1c = 0 + 9 -1c = 0 + 9 Combine like terms: 0 + 9 = 9 -1c = 9 Divide each side by '-1'. c = -9 Simplifying c = -9

Subproblem 2

Set the factor '(4 + -1c)' equal to zero and attempt to solve: Simplifying 4 + -1c = 0 Solving 4 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1c = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1c = 0 + -4 -1c = 0 + -4 Combine like terms: 0 + -4 = -4 -1c = -4 Divide each side by '-1'. c = 4 Simplifying c = 4

Solution

c = {-9, 4}

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