5*c^2+6*c-8=0

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Solution for 5*c^2+6*c-8=0 equation: 


Simplifying
5c2 + 6c + -8 = 0

Reorder the terms:
-8 + 6c + 5c2 = 0

Solving
-8 + 6c + 5c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(-2 + -1c)(4 + -5c) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(4 + -5c)' equal to zero and attempt to solve:

Simplifying
4 + -5c = 0

Solving
4 + -5c = 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 + -5c = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5c = 0 + -4
-5c = 0 + -4

Combine like terms: 0 + -4 = -4
-5c = -4

Divide each side by '-5'.
c = 0.8

Simplifying
c = 0.8
Solution
c = {-2, 0.8}

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