14r^2+17r+3=-2

Solution for 14r^2+17r+3=-2 equation:

Simplifying
14r2 + 17r + 3 = -2

Reorder the terms:
3 + 17r + 14r2 = -2

Solving
3 + 17r + 14r2 = -2

Solving for variable 'r'.

Reorder the terms:
3 + 2 + 17r + 14r2 = -2 + 2

Combine like terms: 3 + 2 = 5
5 + 17r + 14r2 = -2 + 2

Combine like terms: -2 + 2 = 0
5 + 17r + 14r2 = 0

Factor a trinomial.
(5 + 7r)(1 + 2r) = 0

Subproblem 1
Set the factor '(5 + 7r)' equal to zero and attempt to solve:

Simplifying
5 + 7r = 0

Solving
5 + 7r = 0

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

Add '-5' to each side of the equation.
5 + -5 + 7r = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 7r = 0 + -5
7r = 0 + -5

Combine like terms: 0 + -5 = -5
7r = -5

Divide each side by '7'.
r = -0.7142857143

Simplifying
r = -0.7142857143
Subproblem 2
Set the factor '(1 + 2r)' equal to zero and attempt to solve:

Simplifying
1 + 2r = 0

Solving
1 + 2r = 0

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

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

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

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

Divide each side by '2'.
r = -0.5

Simplifying
r = -0.5
Solution
r = {-0.7142857143, -0.5}