c^2-7c-98=0

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Solution for c^2-7c-98=0 equation: 


Simplifying
c2 + -7c + -98 = 0

Reorder the terms:
-98 + -7c + c2 = 0

Solving
-98 + -7c + c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(-7 + -1c)(14 + -1c) = 0


Subproblem 1
Set the factor '(-7 + -1c)' equal to zero and attempt to solve:

Simplifying
-7 + -1c = 0

Solving
-7 + -1c = 0

Move all terms containing c to the left, all other terms to the right.

Add '7' to each side of the equation.
-7 + 7 + -1c = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1c = 0 + 7
-1c = 0 + 7

Combine like terms: 0 + 7 = 7
-1c = 7

Divide each side by '-1'.
c = -7

Simplifying
c = -7

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 = {-7, 14}

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