12r^2+43r+35=

Solution for 12r^2+43r+35= equation:

Simplifying
12r2 + 43r + 35 = 0

Reorder the terms:
35 + 43r + 12r2 = 0

Solving
35 + 43r + 12r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(7 + 3r)(5 + 4r) = 0

Subproblem 1
Set the factor '(7 + 3r)' equal to zero and attempt to solve:

Simplifying
7 + 3r = 0

Solving
7 + 3r = 0

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

Add '-7' to each side of the equation.
7 + -7 + 3r = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 3r = 0 + -7
3r = 0 + -7

Combine like terms: 0 + -7 = -7
3r = -7

Divide each side by '3'.
r = -2.333333333

Simplifying
r = -2.333333333
Subproblem 2
Set the factor '(5 + 4r)' equal to zero and attempt to solve:

Simplifying
5 + 4r = 0

Solving
5 + 4r = 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 + 4r = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 4r = 0 + -5
4r = 0 + -5

Combine like terms: 0 + -5 = -5
4r = -5

Divide each side by '4'.
r = -1.25

Simplifying
r = -1.25
Solution
r = {-2.333333333, -1.25}