7c-10-c^2=

Solution for 7c-10-c^2= equation:

Simplifying
7c + -10 + -1c2 = 0

Reorder the terms:
-10 + 7c + -1c2 = 0

Solving
-10 + 7c + -1c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(-5 + c)(2 + -1c) = 0

Subproblem 1
Set the factor '(-5 + c)' equal to zero and attempt to solve:

Simplifying
-5 + c = 0

Solving
-5 + c = 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 + c = 0 + 5

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

Combine like terms: 0 + 5 = 5
c = 5

Simplifying
c = 5
Subproblem 2
Set the factor '(2 + -1c)' equal to zero and attempt to solve:

Simplifying
2 + -1c = 0

Solving
2 + -1c = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1c = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1c = 0 + -2
-1c = 0 + -2

Combine like terms: 0 + -2 = -2
-1c = -2

Divide each side by '-1'.
c = 2

Simplifying
c = 2
Solution
c = {5, 2}