3c^2+3=-10c

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

Simplifying
3c2 + 3 = -10c

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

Solving
3 + 3c2 = -10c

Solving for variable 'c'.

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

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

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

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

Simplifying
3 + c = 0

Solving
3 + c = 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 + c = 0 + -3

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

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

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

Simplifying
1 + 3c = 0

Solving
1 + 3c = 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 + 3c = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3c = 0 + -1
3c = 0 + -1

Combine like terms: 0 + -1 = -1
3c = -1

Divide each side by '3'.
c = -0.3333333333

Simplifying
c = -0.3333333333
Solution
c = {-3, -0.3333333333}