c^2-9c-70=0

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Solution for c^2-9c-70=0 equation: 


Simplifying
c2 + -9c + -70 = 0

Reorder the terms:
-70 + -9c + c2 = 0

Solving
-70 + -9c + c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(-5 + -1c)(14 + -1c) = 0


Subproblem 1
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

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 = {-5, 14}

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