35r^2+37r-6=0

Solution for 35r^2+37r-6=0 equation:

Simplifying
35r2 + 37r + -6 = 0

Reorder the terms:
-6 + 37r + 35r2 = 0

Solving
-6 + 37r + 35r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(-6 + -5r)(1 + -7r) = 0

Subproblem 1
Set the factor '(-6 + -5r)' equal to zero and attempt to solve:

Simplifying
-6 + -5r = 0

Solving
-6 + -5r = 0

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

Add '6' to each side of the equation.
-6 + 6 + -5r = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -5r = 0 + 6
-5r = 0 + 6

Combine like terms: 0 + 6 = 6
-5r = 6

Divide each side by '-5'.
r = -1.2

Simplifying
r = -1.2
Subproblem 2
Set the factor '(1 + -7r)' equal to zero and attempt to solve:

Simplifying
1 + -7r = 0

Solving
1 + -7r = 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 + -7r = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -7r = 0 + -1
-7r = 0 + -1

Combine like terms: 0 + -1 = -1
-7r = -1

Divide each side by '-7'.
r = 0.1428571429

Simplifying
r = 0.1428571429
Solution
r = {-1.2, 0.1428571429}