35r^2-98r-168=0

Solution for 35r^2-98r-168=0 equation:

Simplifying
35r2 + -98r + -168 = 0

Reorder the terms:
-168 + -98r + 35r2 = 0

Solving
-168 + -98r + 35r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '7'.
7(-24 + -14r + 5r2) = 0

Factor a trinomial.
7((-6 + -5r)(4 + -1r)) = 0

Ignore the factor 7.
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 '(4 + -1r)' equal to zero and attempt to solve:

Simplifying
4 + -1r = 0

Solving
4 + -1r = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1r = 0 + -4

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

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

Divide each side by '-1'.
r = 4

Simplifying
r = 4
Solution
r = {-1.2, 4}