10c^2+43c-9=0

Solution for 10c^2+43c-9=0 equation:

Simplifying
10c2 + 43c + -9 = 0

Reorder the terms:
-9 + 43c + 10c2 = 0

Solving
-9 + 43c + 10c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(-9 + -2c)(1 + -5c) = 0

Subproblem 1
Set the factor '(-9 + -2c)' equal to zero and attempt to solve:

Simplifying
-9 + -2c = 0

Solving
-9 + -2c = 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 + -2c = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -2c = 0 + 9
-2c = 0 + 9

Combine like terms: 0 + 9 = 9
-2c = 9

Divide each side by '-2'.
c = -4.5

Simplifying
c = -4.5
Subproblem 2
Set the factor '(1 + -5c)' equal to zero and attempt to solve:

Simplifying
1 + -5c = 0

Solving
1 + -5c = 0

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

Add '-1' to each side of the equation.
1 + -1 + -5c = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5c = 0 + -1
-5c = 0 + -1

Combine like terms: 0 + -1 = -1
-5c = -1

Divide each side by '-5'.
c = 0.2

Simplifying
c = 0.2
Solution
c = {-4.5, 0.2}