8c^2=-10c+3

Solution for 8c^2=-10c+3 equation:

Simplifying
8c2 = -10c + 3

Reorder the terms:
8c2 = 3 + -10c

Solving
8c2 = 3 + -10c

Solving for variable 'c'.

Reorder the terms:
-3 + 10c + 8c2 = 3 + -10c + -3 + 10c

Reorder the terms:
-3 + 10c + 8c2 = 3 + -3 + -10c + 10c

Combine like terms: 3 + -3 = 0
-3 + 10c + 8c2 = 0 + -10c + 10c
-3 + 10c + 8c2 = -10c + 10c

Combine like terms: -10c + 10c = 0
-3 + 10c + 8c2 = 0

Factor a trinomial.
(-3 + -2c)(1 + -4c) = 0

Subproblem 1
Set the factor '(-3 + -2c)' equal to zero and attempt to solve:

Simplifying
-3 + -2c = 0

Solving
-3 + -2c = 0

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

Add '3' to each side of the equation.
-3 + 3 + -2c = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -2c = 0 + 3
-2c = 0 + 3

Combine like terms: 0 + 3 = 3
-2c = 3

Divide each side by '-2'.
c = -1.5

Simplifying
c = -1.5
Subproblem 2
Set the factor '(1 + -4c)' equal to zero and attempt to solve:

Simplifying
1 + -4c = 0

Solving
1 + -4c = 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 + -4c = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4c = 0 + -1
-4c = 0 + -1

Combine like terms: 0 + -1 = -1
-4c = -1

Divide each side by '-4'.
c = 0.25

Simplifying
c = 0.25
Solution
c = {-1.5, 0.25}