35r^2+17r=-2

Solution for 35r^2+17r=-2 equation:

Simplifying
35r2 + 17r = -2

Reorder the terms:
17r + 35r2 = -2

Solving
17r + 35r2 = -2

Solving for variable 'r'.

Reorder the terms:
2 + 17r + 35r2 = -2 + 2

Combine like terms: -2 + 2 = 0
2 + 17r + 35r2 = 0

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

Subproblem 1
Set the factor '(2 + 7r)' equal to zero and attempt to solve:

Simplifying
2 + 7r = 0

Solving
2 + 7r = 0

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

Add '-2' to each side of the equation.
2 + -2 + 7r = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 7r = 0 + -2
7r = 0 + -2

Combine like terms: 0 + -2 = -2
7r = -2

Divide each side by '7'.
r = -0.2857142857

Simplifying
r = -0.2857142857
Subproblem 2
Set the factor '(1 + 5r)' equal to zero and attempt to solve:

Simplifying
1 + 5r = 0

Solving
1 + 5r = 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 + 5r = 0 + -1

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

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

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

Simplifying
r = -0.2
Solution
r = {-0.2857142857, -0.2}