c^2-10c-50=6

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Solution for c^2-10c-50=6 equation:


Simplifying
c2 + -10c + -50 = 6

Reorder the terms:
-50 + -10c + c2 = 6

Solving
-50 + -10c + c2 = 6

Solving for variable 'c'.

Reorder the terms:
-50 + -6 + -10c + c2 = 6 + -6

Combine like terms: -50 + -6 = -56
-56 + -10c + c2 = 6 + -6

Combine like terms: 6 + -6 = 0
-56 + -10c + c2 = 0

Factor a trinomial.
(-4 + -1c)(14 + -1c) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(14 + -1c)' equal to zero and attempt to solve: Simplifying 14 + -1c = 0 Solving 14 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1c = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1c = 0 + -14 -1c = 0 + -14 Combine like terms: 0 + -14 = -14 -1c = -14 Divide each side by '-1'. c = 14 Simplifying c = 14

Solution

c = {-4, 14}

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